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Finding the Fourth Proportional to 7,570.97, 10,447.86 and 4,213.72

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Solution

The fourth proportional to 7,570.97, 10,447.86 and 4,213.72 is: 5,814.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.97 : 10,447.86 = 4,213.72 : x
  2. Step 2: Convert to fraction form
    7,570.97/10,447.86 = 4,213.72/x
  3. Step 3: Cross multiply
    7,570.97x = 10,447.86 × 4,213.72
  4. Step 4: Simplify right side
    7,570.97x = 44,024,335.57
  5. Step 5: Solve for x
    x = 44,024,335.57/7,570.97
  6. Step 6: Final answer
    x = 5,814.89

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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.