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Finding the Fourth Proportional to 5,678.84, 7,835.60 and 3,320.52

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Solution

The fourth proportional to 5,678.84, 7,835.60 and 3,320.52 is: 4,581.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.84 : 7,835.60 = 3,320.52 : x
  2. Step 2: Convert to fraction form
    5,678.84/7,835.60 = 3,320.52/x
  3. Step 3: Cross multiply
    5,678.84x = 7,835.60 × 3,320.52
  4. Step 4: Simplify right side
    5,678.84x = 26,018,249.91
  5. Step 5: Solve for x
    x = 26,018,249.91/5,678.84
  6. Step 6: Final answer
    x = 4,581.62

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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.