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Finding the Fourth Proportional to 2,047.57, 3,071.35 and 508.57

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Solution

The fourth proportional to 2,047.57, 3,071.35 and 508.57 is: 762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.57 : 3,071.35 = 508.57 : x
  2. Step 2: Convert to fraction form
    2,047.57/3,071.35 = 508.57/x
  3. Step 3: Cross multiply
    2,047.57x = 3,071.35 × 508.57
  4. Step 4: Simplify right side
    2,047.57x = 1,561,978.57
  5. Step 5: Solve for x
    x = 1,561,978.57/2,047.57
  6. Step 6: Final answer
    x = 762.85

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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.