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Finding the Fourth Proportional to 25,900.21, 38,862.11 and 12,566.01

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Solution

The fourth proportional to 25,900.21, 38,862.11 and 12,566.01 is: 18,854.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,900.21 : 38,862.11 = 12,566.01 : x
  2. Step 2: Convert to fraction form
    25,900.21/38,862.11 = 12,566.01/x
  3. Step 3: Cross multiply
    25,900.21x = 38,862.11 × 12,566.01
  4. Step 4: Simplify right side
    25,900.21x = 488,341,405.74
  5. Step 5: Solve for x
    x = 488,341,405.74/25,900.21
  6. Step 6: Final answer
    x = 18,854.73

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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.