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Finding the Fourth Proportional to 7,132.95, 9,842.61 and 3,945.81

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Solution

The fourth proportional to 7,132.95, 9,842.61 and 3,945.81 is: 5,444.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.95 : 9,842.61 = 3,945.81 : x
  2. Step 2: Convert to fraction form
    7,132.95/9,842.61 = 3,945.81/x
  3. Step 3: Cross multiply
    7,132.95x = 9,842.61 × 3,945.81
  4. Step 4: Simplify right side
    7,132.95x = 38,837,068.96
  5. Step 5: Solve for x
    x = 38,837,068.96/7,132.95
  6. Step 6: Final answer
    x = 5,444.74

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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.