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Finding the Fourth Proportional to 11,515, 15,891.42 and 6,547

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Solution

The fourth proportional to 11,515, 15,891.42 and 6,547 is: 9,035.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,515 : 15,891.42 = 6,547 : x
  2. Step 2: Convert to fraction form
    11,515/15,891.42 = 6,547/x
  3. Step 3: Cross multiply
    11,515x = 15,891.42 × 6,547
  4. Step 4: Simplify right side
    11,515x = 104,041,126.74
  5. Step 5: Solve for x
    x = 104,041,126.74/11,515
  6. Step 6: Final answer
    x = 9,035.27

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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.