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Finding the Fourth Proportional to 2,088.38, 3,132.59 and 549.38

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Solution

The fourth proportional to 2,088.38, 3,132.59 and 549.38 is: 824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.38 : 3,132.59 = 549.38 : x
  2. Step 2: Convert to fraction form
    2,088.38/3,132.59 = 549.38/x
  3. Step 3: Cross multiply
    2,088.38x = 3,132.59 × 549.38
  4. Step 4: Simplify right side
    2,088.38x = 1,720,982.29
  5. Step 5: Solve for x
    x = 1,720,982.29/2,088.38
  6. Step 6: Final answer
    x = 824.08

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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.