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Finding the Fourth Proportional to 2,045.21, 3,065.48 and 932.15

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Solution

The fourth proportional to 2,045.21, 3,065.48 and 932.15 is: 1,397.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.21 : 3,065.48 = 932.15 : x
  2. Step 2: Convert to fraction form
    2,045.21/3,065.48 = 932.15/x
  3. Step 3: Cross multiply
    2,045.21x = 3,065.48 × 932.15
  4. Step 4: Simplify right side
    2,045.21x = 2,857,487.18
  5. Step 5: Solve for x
    x = 2,857,487.18/2,045.21
  6. Step 6: Final answer
    x = 1,397.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.