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Finding the Fourth Proportional to 8,491.95, 11,730.11 and 7,080.26

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Solution

The fourth proportional to 8,491.95, 11,730.11 and 7,080.26 is: 9,780.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.95 : 11,730.11 = 7,080.26 : x
  2. Step 2: Convert to fraction form
    8,491.95/11,730.11 = 7,080.26/x
  3. Step 3: Cross multiply
    8,491.95x = 11,730.11 × 7,080.26
  4. Step 4: Simplify right side
    8,491.95x = 83,052,134.58
  5. Step 5: Solve for x
    x = 83,052,134.58/8,491.95
  6. Step 6: Final answer
    x = 9,780.10

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1.5x scale

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.