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Finding the Fourth Proportional to 7,544.80, 10,411.20 and 4,187.44

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Solution

The fourth proportional to 7,544.80, 10,411.20 and 4,187.44 is: 5,778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.80 : 10,411.20 = 4,187.44 : x
  2. Step 2: Convert to fraction form
    7,544.80/10,411.20 = 4,187.44/x
  3. Step 3: Cross multiply
    7,544.80x = 10,411.20 × 4,187.44
  4. Step 4: Simplify right side
    7,544.80x = 43,596,275.33
  5. Step 5: Solve for x
    x = 43,596,275.33/7,544.80
  6. Step 6: Final answer
    x = 5,778.32

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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.