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Finding the Fourth Proportional to 6,812.32, 9,408 and 5,866.24

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Solution

The fourth proportional to 6,812.32, 9,408 and 5,866.24 is: 8,101.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.32 : 9,408 = 5,866.24 : x
  2. Step 2: Convert to fraction form
    6,812.32/9,408 = 5,866.24/x
  3. Step 3: Cross multiply
    6,812.32x = 9,408 × 5,866.24
  4. Step 4: Simplify right side
    6,812.32x = 55,189,585.92
  5. Step 5: Solve for x
    x = 55,189,585.92/6,812.32
  6. Step 6: Final answer
    x = 8,101.44

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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.