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Finding the Fourth Proportional to 25,665.60, 38,530.80 and 13,828.80

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Solution

The fourth proportional to 25,665.60, 38,530.80 and 13,828.80 is: 20,760.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,665.60 : 38,530.80 = 13,828.80 : x
  2. Step 2: Convert to fraction form
    25,665.60/38,530.80 = 13,828.80/x
  3. Step 3: Cross multiply
    25,665.60x = 38,530.80 × 13,828.80
  4. Step 4: Simplify right side
    25,665.60x = 532,834,727.04
  5. Step 5: Solve for x
    x = 532,834,727.04/25,665.60
  6. Step 6: Final answer
    x = 20,760.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.