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Finding the Fourth Proportional to 25,833.60, 38,750.40 and 8,305.20

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Solution

The fourth proportional to 25,833.60, 38,750.40 and 8,305.20 is: 12,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,833.60 : 38,750.40 = 8,305.20 : x
  2. Step 2: Convert to fraction form
    25,833.60/38,750.40 = 8,305.20/x
  3. Step 3: Cross multiply
    25,833.60x = 38,750.40 × 8,305.20
  4. Step 4: Simplify right side
    25,833.60x = 321,829,822.08
  5. Step 5: Solve for x
    x = 321,829,822.08/25,833.60
  6. Step 6: Final answer
    x = 12,457.80

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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.