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Finding the Fourth Proportional to 7,535.39, 10,398.83 and 4,178.20

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Solution

The fourth proportional to 7,535.39, 10,398.83 and 4,178.20 is: 5,765.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535.39 : 10,398.83 = 4,178.20 : x
  2. Step 2: Convert to fraction form
    7,535.39/10,398.83 = 4,178.20/x
  3. Step 3: Cross multiply
    7,535.39x = 10,398.83 × 4,178.20
  4. Step 4: Simplify right side
    7,535.39x = 43,448,391.51
  5. Step 5: Solve for x
    x = 43,448,391.51/7,535.39
  6. Step 6: Final answer
    x = 5,765.91

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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.