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Finding the Fourth Proportional to 8,491.70, 11,729.76 and 7,080.01

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Solution

The fourth proportional to 8,491.70, 11,729.76 and 7,080.01 is: 9,779.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.70 : 11,729.76 = 7,080.01 : x
  2. Step 2: Convert to fraction form
    8,491.70/11,729.76 = 7,080.01/x
  3. Step 3: Cross multiply
    8,491.70x = 11,729.76 × 7,080.01
  4. Step 4: Simplify right side
    8,491.70x = 83,046,818.10
  5. Step 5: Solve for x
    x = 83,046,818.10/8,491.70
  6. Step 6: Final answer
    x = 9,779.76

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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.