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Finding the Fourth Proportional to 31,477.54, 47,200.04 and 9,288.10

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Solution

The fourth proportional to 31,477.54, 47,200.04 and 9,288.10 is: 13,927.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,477.54 : 47,200.04 = 9,288.10 : x
  2. Step 2: Convert to fraction form
    31,477.54/47,200.04 = 9,288.10/x
  3. Step 3: Cross multiply
    31,477.54x = 47,200.04 × 9,288.10
  4. Step 4: Simplify right side
    31,477.54x = 438,398,691.52
  5. Step 5: Solve for x
    x = 438,398,691.52/31,477.54
  6. Step 6: Final answer
    x = 13,927.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.