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Finding the Fourth Proportional to 5,457, 8,184.64 and 1,994.28

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Solution

The fourth proportional to 5,457, 8,184.64 and 1,994.28 is: 2,991.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457 : 8,184.64 = 1,994.28 : x
  2. Step 2: Convert to fraction form
    5,457/8,184.64 = 1,994.28/x
  3. Step 3: Cross multiply
    5,457x = 8,184.64 × 1,994.28
  4. Step 4: Simplify right side
    5,457x = 16,322,463.86
  5. Step 5: Solve for x
    x = 16,322,463.86/5,457
  6. Step 6: Final answer
    x = 2,991.11

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.