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Finding the Fourth Proportional to 3,437.46, 5,156.19 and 840.38

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Solution

The fourth proportional to 3,437.46, 5,156.19 and 840.38 is: 1,260.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.46 : 5,156.19 = 840.38 : x
  2. Step 2: Convert to fraction form
    3,437.46/5,156.19 = 840.38/x
  3. Step 3: Cross multiply
    3,437.46x = 5,156.19 × 840.38
  4. Step 4: Simplify right side
    3,437.46x = 4,333,133.17
  5. Step 5: Solve for x
    x = 4,333,133.17/3,437.46
  6. Step 6: Final answer
    x = 1,260.56

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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.