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Finding the Fourth Proportional to 9,248, 12,759.12 and 5,266.30

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Solution

The fourth proportional to 9,248, 12,759.12 and 5,266.30 is: 7,265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248 : 12,759.12 = 5,266.30 : x
  2. Step 2: Convert to fraction form
    9,248/12,759.12 = 5,266.30/x
  3. Step 3: Cross multiply
    9,248x = 12,759.12 × 5,266.30
  4. Step 4: Simplify right side
    9,248x = 67,193,353.66
  5. Step 5: Solve for x
    x = 67,193,353.66/9,248
  6. Step 6: Final answer
    x = 7,265.72

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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.