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Finding the Fourth Proportional to 9,966.04, 13,752.93 and 5,489.87

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Solution

The fourth proportional to 9,966.04, 13,752.93 and 5,489.87 is: 7,575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.04 : 13,752.93 = 5,489.87 : x
  2. Step 2: Convert to fraction form
    9,966.04/13,752.93 = 5,489.87/x
  3. Step 3: Cross multiply
    9,966.04x = 13,752.93 × 5,489.87
  4. Step 4: Simplify right side
    9,966.04x = 75,501,832.20
  5. Step 5: Solve for x
    x = 75,501,832.20/9,966.04
  6. Step 6: Final answer
    x = 7,575.91

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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.