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Finding the Fourth Proportional to 25,649.60, 38,469.54 and 9,005.72

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Solution

The fourth proportional to 25,649.60, 38,469.54 and 9,005.72 is: 13,506.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,649.60 : 38,469.54 = 9,005.72 : x
  2. Step 2: Convert to fraction form
    25,649.60/38,469.54 = 9,005.72/x
  3. Step 3: Cross multiply
    25,649.60x = 38,469.54 × 9,005.72
  4. Step 4: Simplify right side
    25,649.60x = 346,445,905.77
  5. Step 5: Solve for x
    x = 346,445,905.77/25,649.60
  6. Step 6: Final answer
    x = 13,506.87

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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.