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Finding the Fourth Proportional to 31,373.20, 47,059.80 and 12,905.20

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Solution

The fourth proportional to 31,373.20, 47,059.80 and 12,905.20 is: 19,357.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,373.20 : 47,059.80 = 12,905.20 : x
  2. Step 2: Convert to fraction form
    31,373.20/47,059.80 = 12,905.20/x
  3. Step 3: Cross multiply
    31,373.20x = 47,059.80 × 12,905.20
  4. Step 4: Simplify right side
    31,373.20x = 607,316,130.96
  5. Step 5: Solve for x
    x = 607,316,130.96/31,373.20
  6. Step 6: Final answer
    x = 19,357.80

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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.