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Finding the Fourth Proportional to 2,047.88, 3,071.82 and 508.88

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Solution

The fourth proportional to 2,047.88, 3,071.82 and 508.88 is: 763.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.88 : 3,071.82 = 508.88 : x
  2. Step 2: Convert to fraction form
    2,047.88/3,071.82 = 508.88/x
  3. Step 3: Cross multiply
    2,047.88x = 3,071.82 × 508.88
  4. Step 4: Simplify right side
    2,047.88x = 1,563,187.76
  5. Step 5: Solve for x
    x = 1,563,187.76/2,047.88
  6. Step 6: Final answer
    x = 763.32

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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.