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Finding the Fourth Proportional to 7,249.95, 10,006.07 and 5,259.78

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Solution

The fourth proportional to 7,249.95, 10,006.07 and 5,259.78 is: 7,259.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249.95 : 10,006.07 = 5,259.78 : x
  2. Step 2: Convert to fraction form
    7,249.95/10,006.07 = 5,259.78/x
  3. Step 3: Cross multiply
    7,249.95x = 10,006.07 × 5,259.78
  4. Step 4: Simplify right side
    7,249.95x = 52,629,700.57
  5. Step 5: Solve for x
    x = 52,629,700.57/7,249.95
  6. Step 6: Final answer
    x = 7,259.32

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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.