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Finding the Fourth Proportional to 7,838.24, 11,800.13 and 7,149.33

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Solution

The fourth proportional to 7,838.24, 11,800.13 and 7,149.33 is: 10,763.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.24 : 11,800.13 = 7,149.33 : x
  2. Step 2: Convert to fraction form
    7,838.24/11,800.13 = 7,149.33/x
  3. Step 3: Cross multiply
    7,838.24x = 11,800.13 × 7,149.33
  4. Step 4: Simplify right side
    7,838.24x = 84,363,041.29
  5. Step 5: Solve for x
    x = 84,363,041.29/7,838.24
  6. Step 6: Final answer
    x = 10,763.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.