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Finding the Fourth Proportional to 7,142.63, 9,856.82 and 4,348.13

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Solution

The fourth proportional to 7,142.63, 9,856.82 and 4,348.13 is: 6,000.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.63 : 9,856.82 = 4,348.13 : x
  2. Step 2: Convert to fraction form
    7,142.63/9,856.82 = 4,348.13/x
  3. Step 3: Cross multiply
    7,142.63x = 9,856.82 × 4,348.13
  4. Step 4: Simplify right side
    7,142.63x = 42,858,696.33
  5. Step 5: Solve for x
    x = 42,858,696.33/7,142.63
  6. Step 6: Final answer
    x = 6,000.41

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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.