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Finding the Fourth Proportional to 15,614.16, 21,548 and 8,541

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Solution

The fourth proportional to 15,614.16, 21,548 and 8,541 is: 11,786.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,614.16 : 21,548 = 8,541 : x
  2. Step 2: Convert to fraction form
    15,614.16/21,548 = 8,541/x
  3. Step 3: Cross multiply
    15,614.16x = 21,548 × 8,541
  4. Step 4: Simplify right side
    15,614.16x = 184,041,468
  5. Step 5: Solve for x
    x = 184,041,468/15,614.16
  6. Step 6: Final answer
    x = 11,786.83

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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.