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Finding the Fourth Proportional to 5,642.50, 7,786.56 and 4,448.74

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Solution

The fourth proportional to 5,642.50, 7,786.56 and 4,448.74 is: 6,139.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.50 : 7,786.56 = 4,448.74 : x
  2. Step 2: Convert to fraction form
    5,642.50/7,786.56 = 4,448.74/x
  3. Step 3: Cross multiply
    5,642.50x = 7,786.56 × 4,448.74
  4. Step 4: Simplify right side
    5,642.50x = 34,640,380.93
  5. Step 5: Solve for x
    x = 34,640,380.93/5,642.50
  6. Step 6: Final answer
    x = 6,139.19

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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.