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Finding the Fourth Proportional to 25,687.68, 35,449.70 and 14,509.68

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Solution

The fourth proportional to 25,687.68, 35,449.70 and 14,509.68 is: 20,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,687.68 : 35,449.70 = 14,509.68 : x
  2. Step 2: Convert to fraction form
    25,687.68/35,449.70 = 14,509.68/x
  3. Step 3: Cross multiply
    25,687.68x = 35,449.70 × 14,509.68
  4. Step 4: Simplify right side
    25,687.68x = 514,363,803.10
  5. Step 5: Solve for x
    x = 514,363,803.10/25,687.68
  6. Step 6: Final answer
    x = 20,023.75

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1.5x scale

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.