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Finding the Fourth Proportional to 7,132.66, 10,699.11 and 1,938.40

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Solution

The fourth proportional to 7,132.66, 10,699.11 and 1,938.40 is: 2,907.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.66 : 10,699.11 = 1,938.40 : x
  2. Step 2: Convert to fraction form
    7,132.66/10,699.11 = 1,938.40/x
  3. Step 3: Cross multiply
    7,132.66x = 10,699.11 × 1,938.40
  4. Step 4: Simplify right side
    7,132.66x = 20,739,154.82
  5. Step 5: Solve for x
    x = 20,739,154.82/7,132.66
  6. Step 6: Final answer
    x = 2,907.63

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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.