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Finding the Fourth Proportional to 31,470, 47,205 and 13,002.48

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Solution

The fourth proportional to 31,470, 47,205 and 13,002.48 is: 19,503.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,470 : 47,205 = 13,002.48 : x
  2. Step 2: Convert to fraction form
    31,470/47,205 = 13,002.48/x
  3. Step 3: Cross multiply
    31,470x = 47,205 × 13,002.48
  4. Step 4: Simplify right side
    31,470x = 613,782,068.40
  5. Step 5: Solve for x
    x = 613,782,068.40/31,470
  6. Step 6: Final answer
    x = 19,503.72

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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.