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Finding the Fourth Proportional to 10,162.08, 15,201 and 9,540

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Solution

The fourth proportional to 10,162.08, 15,201 and 9,540 is: 14,270.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.08 : 15,201 = 9,540 : x
  2. Step 2: Convert to fraction form
    10,162.08/15,201 = 9,540/x
  3. Step 3: Cross multiply
    10,162.08x = 15,201 × 9,540
  4. Step 4: Simplify right side
    10,162.08x = 145,017,540
  5. Step 5: Solve for x
    x = 145,017,540/10,162.08
  6. Step 6: Final answer
    x = 14,270.46

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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.