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Finding the Fourth Proportional to 20,140.40, 30,203.40 and 7,657.11

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Solution

The fourth proportional to 20,140.40, 30,203.40 and 7,657.11 is: 11,482.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140.40 : 30,203.40 = 7,657.11 : x
  2. Step 2: Convert to fraction form
    20,140.40/30,203.40 = 7,657.11/x
  3. Step 3: Cross multiply
    20,140.40x = 30,203.40 × 7,657.11
  4. Step 4: Simplify right side
    20,140.40x = 231,270,756.17
  5. Step 5: Solve for x
    x = 231,270,756.17/20,140.40
  6. Step 6: Final answer
    x = 11,482.93

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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.