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Finding the Fourth Proportional to 29,638.48, 40,899.08 and 16,890

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Solution

The fourth proportional to 29,638.48, 40,899.08 and 16,890 is: 23,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,638.48 : 40,899.08 = 16,890 : x
  2. Step 2: Convert to fraction form
    29,638.48/40,899.08 = 16,890/x
  3. Step 3: Cross multiply
    29,638.48x = 40,899.08 × 16,890
  4. Step 4: Simplify right side
    29,638.48x = 690,785,461.20
  5. Step 5: Solve for x
    x = 690,785,461.20/29,638.48
  6. Step 6: Final answer
    x = 23,307.05

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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.