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Finding the Fourth Proportional to 7,785.86, 10,744.17 and 4,643.78

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Solution

The fourth proportional to 7,785.86, 10,744.17 and 4,643.78 is: 6,408.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.86 : 10,744.17 = 4,643.78 : x
  2. Step 2: Convert to fraction form
    7,785.86/10,744.17 = 4,643.78/x
  3. Step 3: Cross multiply
    7,785.86x = 10,744.17 × 4,643.78
  4. Step 4: Simplify right side
    7,785.86x = 49,893,561.76
  5. Step 5: Solve for x
    x = 49,893,561.76/7,785.86
  6. Step 6: Final answer
    x = 6,408.23

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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.