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Finding the Fourth Proportional to 20,613, 28,442.70 and 11,657.64

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Solution

The fourth proportional to 20,613, 28,442.70 and 11,657.64 is: 16,085.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,613 : 28,442.70 = 11,657.64 : x
  2. Step 2: Convert to fraction form
    20,613/28,442.70 = 11,657.64/x
  3. Step 3: Cross multiply
    20,613x = 28,442.70 × 11,657.64
  4. Step 4: Simplify right side
    20,613x = 331,574,757.23
  5. Step 5: Solve for x
    x = 331,574,757.23/20,613
  6. Step 6: Final answer
    x = 16,085.71

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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.