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Finding the Fourth Proportional to 9,966.86, 13,754.36 and 5,490.64

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Solution

The fourth proportional to 9,966.86, 13,754.36 and 5,490.64 is: 7,577.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.86 : 13,754.36 = 5,490.64 : x
  2. Step 2: Convert to fraction form
    9,966.86/13,754.36 = 5,490.64/x
  3. Step 3: Cross multiply
    9,966.86x = 13,754.36 × 5,490.64
  4. Step 4: Simplify right side
    9,966.86x = 75,520,239.19
  5. Step 5: Solve for x
    x = 75,520,239.19/9,966.86
  6. Step 6: Final answer
    x = 7,577.13

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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.