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Finding the Fourth Proportional to 20,570, 30,851.76 and 9,476.24

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Solution

The fourth proportional to 20,570, 30,851.76 and 9,476.24 is: 14,212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,570 : 30,851.76 = 9,476.24 : x
  2. Step 2: Convert to fraction form
    20,570/30,851.76 = 9,476.24/x
  3. Step 3: Cross multiply
    20,570x = 30,851.76 × 9,476.24
  4. Step 4: Simplify right side
    20,570x = 292,358,682.18
  5. Step 5: Solve for x
    x = 292,358,682.18/20,570
  6. Step 6: Final answer
    x = 14,212.87

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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.