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Finding the Fourth Proportional to 29,000, 40,020.48 and 15,752

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Solution

The fourth proportional to 29,000, 40,020.48 and 15,752 is: 21,738.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,000 : 40,020.48 = 15,752 : x
  2. Step 2: Convert to fraction form
    29,000/40,020.48 = 15,752/x
  3. Step 3: Cross multiply
    29,000x = 40,020.48 × 15,752
  4. Step 4: Simplify right side
    29,000x = 630,402,600.96
  5. Step 5: Solve for x
    x = 630,402,600.96/29,000
  6. Step 6: Final answer
    x = 21,738.02

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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.