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Finding the Fourth Proportional to 43,547, 65,320.82 and 10,715

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Solution

The fourth proportional to 43,547, 65,320.82 and 10,715 is: 16,072.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,547 : 65,320.82 = 10,715 : x
  2. Step 2: Convert to fraction form
    43,547/65,320.82 = 10,715/x
  3. Step 3: Cross multiply
    43,547x = 65,320.82 × 10,715
  4. Step 4: Simplify right side
    43,547x = 699,912,586.30
  5. Step 5: Solve for x
    x = 699,912,586.30/43,547
  6. Step 6: Final answer
    x = 16,072.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.