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Finding the Fourth Proportional to 9,000, 12,420 and 5,462.55

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Solution

The fourth proportional to 9,000, 12,420 and 5,462.55 is: 7,538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000 : 12,420 = 5,462.55 : x
  2. Step 2: Convert to fraction form
    9,000/12,420 = 5,462.55/x
  3. Step 3: Cross multiply
    9,000x = 12,420 × 5,462.55
  4. Step 4: Simplify right side
    9,000x = 67,844,871
  5. Step 5: Solve for x
    x = 67,844,871/9,000
  6. Step 6: Final answer
    x = 7,538.32

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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.