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Finding the Fourth Proportional to 31,572, 47,358.36 and 9,384.80

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Solution

The fourth proportional to 31,572, 47,358.36 and 9,384.80 is: 14,077.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,572 : 47,358.36 = 9,384.80 : x
  2. Step 2: Convert to fraction form
    31,572/47,358.36 = 9,384.80/x
  3. Step 3: Cross multiply
    31,572x = 47,358.36 × 9,384.80
  4. Step 4: Simplify right side
    31,572x = 444,448,736.93
  5. Step 5: Solve for x
    x = 444,448,736.93/31,572
  6. Step 6: Final answer
    x = 14,077.31

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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.