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Finding the Fourth Proportional to 5,678.89, 7,835.07 and 3,320.17

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Solution

The fourth proportional to 5,678.89, 7,835.07 and 3,320.17 is: 4,580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.89 : 7,835.07 = 3,320.17 : x
  2. Step 2: Convert to fraction form
    5,678.89/7,835.07 = 3,320.17/x
  3. Step 3: Cross multiply
    5,678.89x = 7,835.07 × 3,320.17
  4. Step 4: Simplify right side
    5,678.89x = 26,013,764.36
  5. Step 5: Solve for x
    x = 26,013,764.36/5,678.89
  6. Step 6: Final answer
    x = 4,580.78

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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.