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Finding the Fourth Proportional to 2,047.63, 3,071.31 and 508.63

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Solution

The fourth proportional to 2,047.63, 3,071.31 and 508.63 is: 762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.63 : 3,071.31 = 508.63 : x
  2. Step 2: Convert to fraction form
    2,047.63/3,071.31 = 508.63/x
  3. Step 3: Cross multiply
    2,047.63x = 3,071.31 × 508.63
  4. Step 4: Simplify right side
    2,047.63x = 1,562,160.41
  5. Step 5: Solve for x
    x = 1,562,160.41/2,047.63
  6. Step 6: Final answer
    x = 762.91

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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.