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Finding the Fourth Proportional to 8,920, 12,310.44 and 5,143.24

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Solution

The fourth proportional to 8,920, 12,310.44 and 5,143.24 is: 7,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,920 : 12,310.44 = 5,143.24 : x
  2. Step 2: Convert to fraction form
    8,920/12,310.44 = 5,143.24/x
  3. Step 3: Cross multiply
    8,920x = 12,310.44 × 5,143.24
  4. Step 4: Simplify right side
    8,920x = 63,315,547.43
  5. Step 5: Solve for x
    x = 63,315,547.43/8,920
  6. Step 6: Final answer
    x = 7,098.16

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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.