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Finding the Fourth Proportional to 7,488.57, 10,338.20 and 5,806.20

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Solution

The fourth proportional to 7,488.57, 10,338.20 and 5,806.20 is: 8,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,488.57 : 10,338.20 = 5,806.20 : x
  2. Step 2: Convert to fraction form
    7,488.57/10,338.20 = 5,806.20/x
  3. Step 3: Cross multiply
    7,488.57x = 10,338.20 × 5,806.20
  4. Step 4: Simplify right side
    7,488.57x = 60,025,656.84
  5. Step 5: Solve for x
    x = 60,025,656.84/7,488.57
  6. Step 6: Final answer
    x = 8,015.64

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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.