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Finding the Fourth Proportional to 25,423.60, 38,142.60 and 7,895.20

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Solution

The fourth proportional to 25,423.60, 38,142.60 and 7,895.20 is: 11,845.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,423.60 : 38,142.60 = 7,895.20 : x
  2. Step 2: Convert to fraction form
    25,423.60/38,142.60 = 7,895.20/x
  3. Step 3: Cross multiply
    25,423.60x = 38,142.60 × 7,895.20
  4. Step 4: Simplify right side
    25,423.60x = 301,143,455.52
  5. Step 5: Solve for x
    x = 301,143,455.52/25,423.60
  6. Step 6: Final answer
    x = 11,845.04

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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.