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Finding the Fourth Proportional to 31,545, 47,319.12 and 13,077

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Solution

The fourth proportional to 31,545, 47,319.12 and 13,077 is: 19,616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,545 : 47,319.12 = 13,077 : x
  2. Step 2: Convert to fraction form
    31,545/47,319.12 = 13,077/x
  3. Step 3: Cross multiply
    31,545x = 47,319.12 × 13,077
  4. Step 4: Simplify right side
    31,545x = 618,792,132.24
  5. Step 5: Solve for x
    x = 618,792,132.24/31,545
  6. Step 6: Final answer
    x = 19,616.17

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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.