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Finding the Fourth Proportional to 29,065, 40,109.70 and 15,817

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Solution

The fourth proportional to 29,065, 40,109.70 and 15,817 is: 21,827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,065 : 40,109.70 = 15,817 : x
  2. Step 2: Convert to fraction form
    29,065/40,109.70 = 15,817/x
  3. Step 3: Cross multiply
    29,065x = 40,109.70 × 15,817
  4. Step 4: Simplify right side
    29,065x = 634,415,124.90
  5. Step 5: Solve for x
    x = 634,415,124.90/29,065
  6. Step 6: Final answer
    x = 21,827.46

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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.