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Finding the Fourth Proportional to 9,472.70, 13,084.62 and 7,686.80

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Solution

The fourth proportional to 9,472.70, 13,084.62 and 7,686.80 is: 10,617.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.70 : 13,084.62 = 7,686.80 : x
  2. Step 2: Convert to fraction form
    9,472.70/13,084.62 = 7,686.80/x
  3. Step 3: Cross multiply
    9,472.70x = 13,084.62 × 7,686.80
  4. Step 4: Simplify right side
    9,472.70x = 100,578,857.02
  5. Step 5: Solve for x
    x = 100,578,857.02/9,472.70
  6. Step 6: Final answer
    x = 10,617.76

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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.