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Finding the Fourth Proportional to 9,227.16, 12,720 and 7,339.44

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Solution

The fourth proportional to 9,227.16, 12,720 and 7,339.44 is: 10,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.16 : 12,720 = 7,339.44 : x
  2. Step 2: Convert to fraction form
    9,227.16/12,720 = 7,339.44/x
  3. Step 3: Cross multiply
    9,227.16x = 12,720 × 7,339.44
  4. Step 4: Simplify right side
    9,227.16x = 93,357,676.80
  5. Step 5: Solve for x
    x = 93,357,676.80/9,227.16
  6. Step 6: Final answer
    x = 10,117.70

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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.