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Finding the Fourth Proportional to 25,687.63, 35,449.05 and 14,357.31

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Solution

The fourth proportional to 25,687.63, 35,449.05 and 14,357.31 is: 19,813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,687.63 : 35,449.05 = 14,357.31 : x
  2. Step 2: Convert to fraction form
    25,687.63/35,449.05 = 14,357.31/x
  3. Step 3: Cross multiply
    25,687.63x = 35,449.05 × 14,357.31
  4. Step 4: Simplify right side
    25,687.63x = 508,953,000.06
  5. Step 5: Solve for x
    x = 508,953,000.06/25,687.63
  6. Step 6: Final answer
    x = 19,813.16

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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.