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Finding the Fourth Proportional to 20,497.60, 28,284.60 and 11,543.68

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Solution

The fourth proportional to 20,497.60, 28,284.60 and 11,543.68 is: 15,929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.60 : 28,284.60 = 11,543.68 : x
  2. Step 2: Convert to fraction form
    20,497.60/28,284.60 = 11,543.68/x
  3. Step 3: Cross multiply
    20,497.60x = 28,284.60 × 11,543.68
  4. Step 4: Simplify right side
    20,497.60x = 326,508,371.33
  5. Step 5: Solve for x
    x = 326,508,371.33/20,497.60
  6. Step 6: Final answer
    x = 15,929.10

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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.