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Finding the Fourth Proportional to 9,164.61, 13,742.10 and 4,230.05

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Solution

The fourth proportional to 9,164.61, 13,742.10 and 4,230.05 is: 6,342.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.61 : 13,742.10 = 4,230.05 : x
  2. Step 2: Convert to fraction form
    9,164.61/13,742.10 = 4,230.05/x
  3. Step 3: Cross multiply
    9,164.61x = 13,742.10 × 4,230.05
  4. Step 4: Simplify right side
    9,164.61x = 58,129,701.39
  5. Step 5: Solve for x
    x = 58,129,701.39/9,164.61
  6. Step 6: Final answer
    x = 6,342.85

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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.