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Finding the Fourth Proportional to 12,378.66, 17,080.11 and 7,598.04

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Solution

The fourth proportional to 12,378.66, 17,080.11 and 7,598.04 is: 10,483.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.66 : 17,080.11 = 7,598.04 : x
  2. Step 2: Convert to fraction form
    12,378.66/17,080.11 = 7,598.04/x
  3. Step 3: Cross multiply
    12,378.66x = 17,080.11 × 7,598.04
  4. Step 4: Simplify right side
    12,378.66x = 129,775,358.98
  5. Step 5: Solve for x
    x = 129,775,358.98/12,378.66
  6. Step 6: Final answer
    x = 10,483.80

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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.