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Finding the Fourth Proportional to 25,862.80, 35,689.72 and 15,808.08

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Solution

The fourth proportional to 25,862.80, 35,689.72 and 15,808.08 is: 21,814.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,862.80 : 35,689.72 = 15,808.08 : x
  2. Step 2: Convert to fraction form
    25,862.80/35,689.72 = 15,808.08/x
  3. Step 3: Cross multiply
    25,862.80x = 35,689.72 × 15,808.08
  4. Step 4: Simplify right side
    25,862.80x = 564,185,948.94
  5. Step 5: Solve for x
    x = 564,185,948.94/25,862.80
  6. Step 6: Final answer
    x = 21,814.57

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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.