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Finding the Fourth Proportional to 31,587, 47,380.68 and 13,119

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Solution

The fourth proportional to 31,587, 47,380.68 and 13,119 is: 19,678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,587 : 47,380.68 = 13,119 : x
  2. Step 2: Convert to fraction form
    31,587/47,380.68 = 13,119/x
  3. Step 3: Cross multiply
    31,587x = 47,380.68 × 13,119
  4. Step 4: Simplify right side
    31,587x = 621,587,140.92
  5. Step 5: Solve for x
    x = 621,587,140.92/31,587
  6. Step 6: Final answer
    x = 19,678.57

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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.