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Finding the Fourth Proportional to 9,987.84, 14,981.76 and 6,475.68

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Solution

The fourth proportional to 9,987.84, 14,981.76 and 6,475.68 is: 9,713.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987.84 : 14,981.76 = 6,475.68 : x
  2. Step 2: Convert to fraction form
    9,987.84/14,981.76 = 6,475.68/x
  3. Step 3: Cross multiply
    9,987.84x = 14,981.76 × 6,475.68
  4. Step 4: Simplify right side
    9,987.84x = 97,017,083.60
  5. Step 5: Solve for x
    x = 97,017,083.60/9,987.84
  6. Step 6: Final answer
    x = 9,713.52

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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.