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Finding the Fourth Proportional to 25,135.50, 34,686.99 and 13,957.50

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Solution

The fourth proportional to 25,135.50, 34,686.99 and 13,957.50 is: 19,261.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,135.50 : 34,686.99 = 13,957.50 : x
  2. Step 2: Convert to fraction form
    25,135.50/34,686.99 = 13,957.50/x
  3. Step 3: Cross multiply
    25,135.50x = 34,686.99 × 13,957.50
  4. Step 4: Simplify right side
    25,135.50x = 484,143,662.93
  5. Step 5: Solve for x
    x = 484,143,662.93/25,135.50
  6. Step 6: Final answer
    x = 19,261.35

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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.