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Finding the Fourth Proportional to 29,478.06, 40,679.01 and 16,902

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Solution

The fourth proportional to 29,478.06, 40,679.01 and 16,902 is: 23,324.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,478.06 : 40,679.01 = 16,902 : x
  2. Step 2: Convert to fraction form
    29,478.06/40,679.01 = 16,902/x
  3. Step 3: Cross multiply
    29,478.06x = 40,679.01 × 16,902
  4. Step 4: Simplify right side
    29,478.06x = 687,556,627.02
  5. Step 5: Solve for x
    x = 687,556,627.02/29,478.06
  6. Step 6: Final answer
    x = 23,324.35

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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.