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Finding the Fourth Proportional to 25,931.90, 38,904.77 and 9,293.61

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Solution

The fourth proportional to 25,931.90, 38,904.77 and 9,293.61 is: 13,942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,931.90 : 38,904.77 = 9,293.61 : x
  2. Step 2: Convert to fraction form
    25,931.90/38,904.77 = 9,293.61/x
  3. Step 3: Cross multiply
    25,931.90x = 38,904.77 × 9,293.61
  4. Step 4: Simplify right side
    25,931.90x = 361,565,713.05
  5. Step 5: Solve for x
    x = 361,565,713.05/25,931.90
  6. Step 6: Final answer
    x = 13,942.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.