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Finding the Fourth Proportional to 8,436, 12,642.88 and 7,335.12

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Solution

The fourth proportional to 8,436, 12,642.88 and 7,335.12 is: 10,993.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436 : 12,642.88 = 7,335.12 : x
  2. Step 2: Convert to fraction form
    8,436/12,642.88 = 7,335.12/x
  3. Step 3: Cross multiply
    8,436x = 12,642.88 × 7,335.12
  4. Step 4: Simplify right side
    8,436x = 92,737,041.95
  5. Step 5: Solve for x
    x = 92,737,041.95/8,436
  6. Step 6: Final answer
    x = 10,993.01

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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.