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Finding the Fourth Proportional to 9,966.56, 13,753.68 and 5,775.20

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Solution

The fourth proportional to 9,966.56, 13,753.68 and 5,775.20 is: 7,969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.56 : 13,753.68 = 5,775.20 : x
  2. Step 2: Convert to fraction form
    9,966.56/13,753.68 = 5,775.20/x
  3. Step 3: Cross multiply
    9,966.56x = 13,753.68 × 5,775.20
  4. Step 4: Simplify right side
    9,966.56x = 79,430,252.74
  5. Step 5: Solve for x
    x = 79,430,252.74/9,966.56
  6. Step 6: Final answer
    x = 7,969.68

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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.