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Finding the Fourth Proportional to 8,097.20, 12,060.68 and 7,718

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Solution

The fourth proportional to 8,097.20, 12,060.68 and 7,718 is: 11,495.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.20 : 12,060.68 = 7,718 : x
  2. Step 2: Convert to fraction form
    8,097.20/12,060.68 = 7,718/x
  3. Step 3: Cross multiply
    8,097.20x = 12,060.68 × 7,718
  4. Step 4: Simplify right side
    8,097.20x = 93,084,328.24
  5. Step 5: Solve for x
    x = 93,084,328.24/8,097.20
  6. Step 6: Final answer
    x = 11,495.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.