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Finding the Fourth Proportional to 9,966.34, 13,753.74 and 6,430.78

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Solution

The fourth proportional to 9,966.34, 13,753.74 and 6,430.78 is: 8,874.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.34 : 13,753.74 = 6,430.78 : x
  2. Step 2: Convert to fraction form
    9,966.34/13,753.74 = 6,430.78/x
  3. Step 3: Cross multiply
    9,966.34x = 13,753.74 × 6,430.78
  4. Step 4: Simplify right side
    9,966.34x = 88,447,276.12
  5. Step 5: Solve for x
    x = 88,447,276.12/9,966.34
  6. Step 6: Final answer
    x = 8,874.60

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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.