Home / 8,204.16-11,320.24-5,408

Finding the Fourth Proportional to 8,204.16, 11,320.24 and 5,408

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Solution

The fourth proportional to 8,204.16, 11,320.24 and 5,408 is: 7,462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.16 : 11,320.24 = 5,408 : x
  2. Step 2: Convert to fraction form
    8,204.16/11,320.24 = 5,408/x
  3. Step 3: Cross multiply
    8,204.16x = 11,320.24 × 5,408
  4. Step 4: Simplify right side
    8,204.16x = 61,219,857.92
  5. Step 5: Solve for x
    x = 61,219,857.92/8,204.16
  6. Step 6: Final answer
    x = 7,462.05

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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.