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Finding the Fourth Proportional to 20,020, 30,024.60 and 7,539.16

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Solution

The fourth proportional to 20,020, 30,024.60 and 7,539.16 is: 11,306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,020 : 30,024.60 = 7,539.16 : x
  2. Step 2: Convert to fraction form
    20,020/30,024.60 = 7,539.16/x
  3. Step 3: Cross multiply
    20,020x = 30,024.60 × 7,539.16
  4. Step 4: Simplify right side
    20,020x = 226,360,263.34
  5. Step 5: Solve for x
    x = 226,360,263.34/20,020
  6. Step 6: Final answer
    x = 11,306.71

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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.