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Finding the Fourth Proportional to 25,145.70, 34,701.65 and 13,815.90

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Solution

The fourth proportional to 25,145.70, 34,701.65 and 13,815.90 is: 19,066.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,145.70 : 34,701.65 = 13,815.90 : x
  2. Step 2: Convert to fraction form
    25,145.70/34,701.65 = 13,815.90/x
  3. Step 3: Cross multiply
    25,145.70x = 34,701.65 × 13,815.90
  4. Step 4: Simplify right side
    25,145.70x = 479,434,526.24
  5. Step 5: Solve for x
    x = 479,434,526.24/25,145.70
  6. Step 6: Final answer
    x = 19,066.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.