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Finding the Fourth Proportional to 8,818.16, 12,167.16 and 5,090

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Solution

The fourth proportional to 8,818.16, 12,167.16 and 5,090 is: 7,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,818.16 : 12,167.16 = 5,090 : x
  2. Step 2: Convert to fraction form
    8,818.16/12,167.16 = 5,090/x
  3. Step 3: Cross multiply
    8,818.16x = 12,167.16 × 5,090
  4. Step 4: Simplify right side
    8,818.16x = 61,930,844.40
  5. Step 5: Solve for x
    x = 61,930,844.40/8,818.16
  6. Step 6: Final answer
    x = 7,023.10

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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.