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Finding the Fourth Proportional to 8,613.40, 12,907.78 and 4,907.98

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Solution

The fourth proportional to 8,613.40, 12,907.78 and 4,907.98 is: 7,354.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,613.40 : 12,907.78 = 4,907.98 : x
  2. Step 2: Convert to fraction form
    8,613.40/12,907.78 = 4,907.98/x
  3. Step 3: Cross multiply
    8,613.40x = 12,907.78 × 4,907.98
  4. Step 4: Simplify right side
    8,613.40x = 63,351,126.08
  5. Step 5: Solve for x
    x = 63,351,126.08/8,613.40
  6. Step 6: Final answer
    x = 7,354.95

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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.