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Finding the Fourth Proportional to 10,666.12, 15,986.22 and 7,547.03

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Solution

The fourth proportional to 10,666.12, 15,986.22 and 7,547.03 is: 11,311.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.12 : 15,986.22 = 7,547.03 : x
  2. Step 2: Convert to fraction form
    10,666.12/15,986.22 = 7,547.03/x
  3. Step 3: Cross multiply
    10,666.12x = 15,986.22 × 7,547.03
  4. Step 4: Simplify right side
    10,666.12x = 120,648,481.93
  5. Step 5: Solve for x
    x = 120,648,481.93/10,666.12
  6. Step 6: Final answer
    x = 11,311.37

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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.