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Finding the Fourth Proportional to 29,013, 40,038.18 and 15,765

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Solution

The fourth proportional to 29,013, 40,038.18 and 15,765 is: 21,755.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,013 : 40,038.18 = 15,765 : x
  2. Step 2: Convert to fraction form
    29,013/40,038.18 = 15,765/x
  3. Step 3: Cross multiply
    29,013x = 40,038.18 × 15,765
  4. Step 4: Simplify right side
    29,013x = 631,201,907.70
  5. Step 5: Solve for x
    x = 631,201,907.70/29,013
  6. Step 6: Final answer
    x = 21,755.83

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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.