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Finding the Fourth Proportional to 7,122.84, 10,691.78 and 4,005.51

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Solution

The fourth proportional to 7,122.84, 10,691.78 and 4,005.51 is: 6,012.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.84 : 10,691.78 = 4,005.51 : x
  2. Step 2: Convert to fraction form
    7,122.84/10,691.78 = 4,005.51/x
  3. Step 3: Cross multiply
    7,122.84x = 10,691.78 × 4,005.51
  4. Step 4: Simplify right side
    7,122.84x = 42,826,011.68
  5. Step 5: Solve for x
    x = 42,826,011.68/7,122.84
  6. Step 6: Final answer
    x = 6,012.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.