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Finding the Fourth Proportional to 7,114.47, 9,821.29 and 4,129.73

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Solution

The fourth proportional to 7,114.47, 9,821.29 and 4,129.73 is: 5,700.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.47 : 9,821.29 = 4,129.73 : x
  2. Step 2: Convert to fraction form
    7,114.47/9,821.29 = 4,129.73/x
  3. Step 3: Cross multiply
    7,114.47x = 9,821.29 × 4,129.73
  4. Step 4: Simplify right side
    7,114.47x = 40,559,275.95
  5. Step 5: Solve for x
    x = 40,559,275.95/7,114.47
  6. Step 6: Final answer
    x = 5,700.96

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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.