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Finding the Fourth Proportional to 25,860, 35,686.80 and 14,084

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Solution

The fourth proportional to 25,860, 35,686.80 and 14,084 is: 19,435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,860 : 35,686.80 = 14,084 : x
  2. Step 2: Convert to fraction form
    25,860/35,686.80 = 14,084/x
  3. Step 3: Cross multiply
    25,860x = 35,686.80 × 14,084
  4. Step 4: Simplify right side
    25,860x = 502,612,891.20
  5. Step 5: Solve for x
    x = 502,612,891.20/25,860
  6. Step 6: Final answer
    x = 19,435.92

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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.