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Finding the Fourth Proportional to 8,370.98, 12,547.71 and 2,822.40

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Solution

The fourth proportional to 8,370.98, 12,547.71 and 2,822.40 is: 4,230.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370.98 : 12,547.71 = 2,822.40 : x
  2. Step 2: Convert to fraction form
    8,370.98/12,547.71 = 2,822.40/x
  3. Step 3: Cross multiply
    8,370.98x = 12,547.71 × 2,822.40
  4. Step 4: Simplify right side
    8,370.98x = 35,414,656.70
  5. Step 5: Solve for x
    x = 35,414,656.70/8,370.98
  6. Step 6: Final answer
    x = 4,230.65

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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.