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Finding the Fourth Proportional to 7,642.95, 10,546.71 and 4,239.71

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Solution

The fourth proportional to 7,642.95, 10,546.71 and 4,239.71 is: 5,850.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.95 : 10,546.71 = 4,239.71 : x
  2. Step 2: Convert to fraction form
    7,642.95/10,546.71 = 4,239.71/x
  3. Step 3: Cross multiply
    7,642.95x = 10,546.71 × 4,239.71
  4. Step 4: Simplify right side
    7,642.95x = 44,714,939.12
  5. Step 5: Solve for x
    x = 44,714,939.12/7,642.95
  6. Step 6: Final answer
    x = 5,850.48

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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.