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Finding the Fourth Proportional to 9,408, 12,983.04 and 5,216.52

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Solution

The fourth proportional to 9,408, 12,983.04 and 5,216.52 is: 7,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408 : 12,983.04 = 5,216.52 : x
  2. Step 2: Convert to fraction form
    9,408/12,983.04 = 5,216.52/x
  3. Step 3: Cross multiply
    9,408x = 12,983.04 × 5,216.52
  4. Step 4: Simplify right side
    9,408x = 67,726,287.82
  5. Step 5: Solve for x
    x = 67,726,287.82/9,408
  6. Step 6: Final answer
    x = 7,198.80

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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.