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Finding the Fourth Proportional to 9,539.70, 13,177.05 and 7,328.78

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Solution

The fourth proportional to 9,539.70, 13,177.05 and 7,328.78 is: 10,123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.70 : 13,177.05 = 7,328.78 : x
  2. Step 2: Convert to fraction form
    9,539.70/13,177.05 = 7,328.78/x
  3. Step 3: Cross multiply
    9,539.70x = 13,177.05 × 7,328.78
  4. Step 4: Simplify right side
    9,539.70x = 96,571,718.38
  5. Step 5: Solve for x
    x = 96,571,718.38/9,539.70
  6. Step 6: Final answer
    x = 10,123.14

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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.