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Finding the Fourth Proportional to 29,978.17, 41,353.50 and 20,889.13

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Solution

The fourth proportional to 29,978.17, 41,353.50 and 20,889.13 is: 28,815.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.17 : 41,353.50 = 20,889.13 : x
  2. Step 2: Convert to fraction form
    29,978.17/41,353.50 = 20,889.13/x
  3. Step 3: Cross multiply
    29,978.17x = 41,353.50 × 20,889.13
  4. Step 4: Simplify right side
    29,978.17x = 863,838,718.12
  5. Step 5: Solve for x
    x = 863,838,718.12/29,978.17
  6. Step 6: Final answer
    x = 28,815.59

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1.5x scale

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.