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Finding the Fourth Proportional to 20,445.76, 30,646.77 and 10,575.10

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Solution

The fourth proportional to 20,445.76, 30,646.77 and 10,575.10 is: 15,851.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,445.76 : 30,646.77 = 10,575.10 : x
  2. Step 2: Convert to fraction form
    20,445.76/30,646.77 = 10,575.10/x
  3. Step 3: Cross multiply
    20,445.76x = 30,646.77 × 10,575.10
  4. Step 4: Simplify right side
    20,445.76x = 324,092,657.43
  5. Step 5: Solve for x
    x = 324,092,657.43/20,445.76
  6. Step 6: Final answer
    x = 15,851.34

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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.