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Finding the Fourth Proportional to 3,109.71, 4,663.13 and 1,029.33

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Solution

The fourth proportional to 3,109.71, 4,663.13 and 1,029.33 is: 1,543.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.71 : 4,663.13 = 1,029.33 : x
  2. Step 2: Convert to fraction form
    3,109.71/4,663.13 = 1,029.33/x
  3. Step 3: Cross multiply
    3,109.71x = 4,663.13 × 1,029.33
  4. Step 4: Simplify right side
    3,109.71x = 4,799,894.46
  5. Step 5: Solve for x
    x = 4,799,894.46/3,109.71
  6. Step 6: Final answer
    x = 1,543.52

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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.