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Finding the Fourth Proportional to 9,472.80, 13,071.06 and 5,280.78

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Solution

The fourth proportional to 9,472.80, 13,071.06 and 5,280.78 is: 7,286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.80 : 13,071.06 = 5,280.78 : x
  2. Step 2: Convert to fraction form
    9,472.80/13,071.06 = 5,280.78/x
  3. Step 3: Cross multiply
    9,472.80x = 13,071.06 × 5,280.78
  4. Step 4: Simplify right side
    9,472.80x = 69,025,392.23
  5. Step 5: Solve for x
    x = 69,025,392.23/9,472.80
  6. Step 6: Final answer
    x = 7,286.69

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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.