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Finding the Fourth Proportional to 31,200, 46,785.42 and 10,408.92

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Solution

The fourth proportional to 31,200, 46,785.42 and 10,408.92 is: 15,608.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,200 : 46,785.42 = 10,408.92 : x
  2. Step 2: Convert to fraction form
    31,200/46,785.42 = 10,408.92/x
  3. Step 3: Cross multiply
    31,200x = 46,785.42 × 10,408.92
  4. Step 4: Simplify right side
    31,200x = 486,985,693.95
  5. Step 5: Solve for x
    x = 486,985,693.95/31,200
  6. Step 6: Final answer
    x = 15,608.52

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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.