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Finding the Fourth Proportional to 25,648.64, 38,472.24 and 13,984.64

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Solution

The fourth proportional to 25,648.64, 38,472.24 and 13,984.64 is: 20,976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,648.64 : 38,472.24 = 13,984.64 : x
  2. Step 2: Convert to fraction form
    25,648.64/38,472.24 = 13,984.64/x
  3. Step 3: Cross multiply
    25,648.64x = 38,472.24 × 13,984.64
  4. Step 4: Simplify right side
    25,648.64x = 538,020,426.39
  5. Step 5: Solve for x
    x = 538,020,426.39/25,648.64
  6. Step 6: Final answer
    x = 20,976.57

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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.