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Finding the Fourth Proportional to 12,856, 19,281.12 and 6,279.04

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Solution

The fourth proportional to 12,856, 19,281.12 and 6,279.04 is: 9,417.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856 : 19,281.12 = 6,279.04 : x
  2. Step 2: Convert to fraction form
    12,856/19,281.12 = 6,279.04/x
  3. Step 3: Cross multiply
    12,856x = 19,281.12 × 6,279.04
  4. Step 4: Simplify right side
    12,856x = 121,066,923.72
  5. Step 5: Solve for x
    x = 121,066,923.72/12,856
  6. Step 6: Final answer
    x = 9,417.15

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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.