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Finding the Fourth Proportional to 8,418, 11,617.20 and 4,692

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Solution

The fourth proportional to 8,418, 11,617.20 and 4,692 is: 6,475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,418 : 11,617.20 = 4,692 : x
  2. Step 2: Convert to fraction form
    8,418/11,617.20 = 4,692/x
  3. Step 3: Cross multiply
    8,418x = 11,617.20 × 4,692
  4. Step 4: Simplify right side
    8,418x = 54,507,902.40
  5. Step 5: Solve for x
    x = 54,507,902.40/8,418
  6. Step 6: Final answer
    x = 6,475.16

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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.