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Finding the Fourth Proportional to 32,862.50, 45,347 and 20,119.28

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Solution

The fourth proportional to 32,862.50, 45,347 and 20,119.28 is: 27,762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,862.50 : 45,347 = 20,119.28 : x
  2. Step 2: Convert to fraction form
    32,862.50/45,347 = 20,119.28/x
  3. Step 3: Cross multiply
    32,862.50x = 45,347 × 20,119.28
  4. Step 4: Simplify right side
    32,862.50x = 912,348,763.43
  5. Step 5: Solve for x
    x = 912,348,763.43/32,862.50
  6. Step 6: Final answer
    x = 27,762.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.