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Finding the Fourth Proportional to 9,991.98, 13,785.64 and 6,457.28

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Solution

The fourth proportional to 9,991.98, 13,785.64 and 6,457.28 is: 8,908.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.98 : 13,785.64 = 6,457.28 : x
  2. Step 2: Convert to fraction form
    9,991.98/13,785.64 = 6,457.28/x
  3. Step 3: Cross multiply
    9,991.98x = 13,785.64 × 6,457.28
  4. Step 4: Simplify right side
    9,991.98x = 89,017,737.46
  5. Step 5: Solve for x
    x = 89,017,737.46/9,991.98
  6. Step 6: Final answer
    x = 8,908.92

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.