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Finding the Fourth Proportional to 20,570.47, 30,849.32 and 7,421.13

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Solution

The fourth proportional to 20,570.47, 30,849.32 and 7,421.13 is: 11,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,570.47 : 30,849.32 = 7,421.13 : x
  2. Step 2: Convert to fraction form
    20,570.47/30,849.32 = 7,421.13/x
  3. Step 3: Cross multiply
    20,570.47x = 30,849.32 × 7,421.13
  4. Step 4: Simplify right side
    20,570.47x = 228,936,832.68
  5. Step 5: Solve for x
    x = 228,936,832.68/20,570.47
  6. Step 6: Final answer
    x = 11,129.39

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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.