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Finding the Fourth Proportional to 31,785.63, 47,678.78 and 9,599.20

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Solution

The fourth proportional to 31,785.63, 47,678.78 and 9,599.20 is: 14,398.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,785.63 : 47,678.78 = 9,599.20 : x
  2. Step 2: Convert to fraction form
    31,785.63/47,678.78 = 9,599.20/x
  3. Step 3: Cross multiply
    31,785.63x = 47,678.78 × 9,599.20
  4. Step 4: Simplify right side
    31,785.63x = 457,678,144.98
  5. Step 5: Solve for x
    x = 457,678,144.98/31,785.63
  6. Step 6: Final answer
    x = 14,398.90

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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.