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Finding the Fourth Proportional to 7,443.12, 10,278.42 and 4,795.12

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Solution

The fourth proportional to 7,443.12, 10,278.42 and 4,795.12 is: 6,621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.12 : 10,278.42 = 4,795.12 : x
  2. Step 2: Convert to fraction form
    7,443.12/10,278.42 = 4,795.12/x
  3. Step 3: Cross multiply
    7,443.12x = 10,278.42 × 4,795.12
  4. Step 4: Simplify right side
    7,443.12x = 49,286,257.31
  5. Step 5: Solve for x
    x = 49,286,257.31/7,443.12
  6. Step 6: Final answer
    x = 6,621.72

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Half scale
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Double scale
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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.