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Finding the Fourth Proportional to 9,915.87, 13,684.53 and 6,552.78

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Solution

The fourth proportional to 9,915.87, 13,684.53 and 6,552.78 is: 9,043.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.87 : 13,684.53 = 6,552.78 : x
  2. Step 2: Convert to fraction form
    9,915.87/13,684.53 = 6,552.78/x
  3. Step 3: Cross multiply
    9,915.87x = 13,684.53 × 6,552.78
  4. Step 4: Simplify right side
    9,915.87x = 89,671,714.49
  5. Step 5: Solve for x
    x = 89,671,714.49/9,915.87
  6. Step 6: Final answer
    x = 9,043.25

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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.