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Finding the Fourth Proportional to 9,287.22, 12,785.13 and 8,045.49

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Solution

The fourth proportional to 9,287.22, 12,785.13 and 8,045.49 is: 11,075.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.22 : 12,785.13 = 8,045.49 : x
  2. Step 2: Convert to fraction form
    9,287.22/12,785.13 = 8,045.49/x
  3. Step 3: Cross multiply
    9,287.22x = 12,785.13 × 8,045.49
  4. Step 4: Simplify right side
    9,287.22x = 102,862,635.56
  5. Step 5: Solve for x
    x = 102,862,635.56/9,287.22
  6. Step 6: Final answer
    x = 11,075.72

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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.