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Finding the Fourth Proportional to 20,558, 28,363.52 and 12,596.24

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Solution

The fourth proportional to 20,558, 28,363.52 and 12,596.24 is: 17,378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,558 : 28,363.52 = 12,596.24 : x
  2. Step 2: Convert to fraction form
    20,558/28,363.52 = 12,596.24/x
  3. Step 3: Cross multiply
    20,558x = 28,363.52 × 12,596.24
  4. Step 4: Simplify right side
    20,558x = 357,273,705.16
  5. Step 5: Solve for x
    x = 357,273,705.16/20,558
  6. Step 6: Final answer
    x = 17,378.82

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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.