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Finding the Fourth Proportional to 9,390.65, 12,944.16 and 7,398.05

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Solution

The fourth proportional to 9,390.65, 12,944.16 and 7,398.05 is: 10,197.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,390.65 : 12,944.16 = 7,398.05 : x
  2. Step 2: Convert to fraction form
    9,390.65/12,944.16 = 7,398.05/x
  3. Step 3: Cross multiply
    9,390.65x = 12,944.16 × 7,398.05
  4. Step 4: Simplify right side
    9,390.65x = 95,761,478.17
  5. Step 5: Solve for x
    x = 95,761,478.17/9,390.65
  6. Step 6: Final answer
    x = 10,197.54

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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.