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Finding the Fourth Proportional to 7,458, 10,292.09 and 4,100.71

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Solution

The fourth proportional to 7,458, 10,292.09 and 4,100.71 is: 5,659.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458 : 10,292.09 = 4,100.71 : x
  2. Step 2: Convert to fraction form
    7,458/10,292.09 = 4,100.71/x
  3. Step 3: Cross multiply
    7,458x = 10,292.09 × 4,100.71
  4. Step 4: Simplify right side
    7,458x = 42,204,876.38
  5. Step 5: Solve for x
    x = 42,204,876.38/7,458
  6. Step 6: Final answer
    x = 5,659.01

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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.