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Finding the Fourth Proportional to 2,742.90, 4,114.98 and 894.18

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Solution

The fourth proportional to 2,742.90, 4,114.98 and 894.18 is: 1,341.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.90 : 4,114.98 = 894.18 : x
  2. Step 2: Convert to fraction form
    2,742.90/4,114.98 = 894.18/x
  3. Step 3: Cross multiply
    2,742.90x = 4,114.98 × 894.18
  4. Step 4: Simplify right side
    2,742.90x = 3,679,532.82
  5. Step 5: Solve for x
    x = 3,679,532.82/2,742.90
  6. Step 6: Final answer
    x = 1,341.48

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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.