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Finding the Fourth Proportional to 3,670.76, 5,505.75 and 1,038.20

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Solution

The fourth proportional to 3,670.76, 5,505.75 and 1,038.20 is: 1,557.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.76 : 5,505.75 = 1,038.20 : x
  2. Step 2: Convert to fraction form
    3,670.76/5,505.75 = 1,038.20/x
  3. Step 3: Cross multiply
    3,670.76x = 5,505.75 × 1,038.20
  4. Step 4: Simplify right side
    3,670.76x = 5,716,042.12
  5. Step 5: Solve for x
    x = 5,716,042.12/3,670.76
  6. Step 6: Final answer
    x = 1,557.18

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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.