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Finding the Fourth Proportional to 5,349.74, 7,384.66 and 4,789.20

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Solution

The fourth proportional to 5,349.74, 7,384.66 and 4,789.20 is: 6,610.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349.74 : 7,384.66 = 4,789.20 : x
  2. Step 2: Convert to fraction form
    5,349.74/7,384.66 = 4,789.20/x
  3. Step 3: Cross multiply
    5,349.74x = 7,384.66 × 4,789.20
  4. Step 4: Simplify right side
    5,349.74x = 35,366,614.79
  5. Step 5: Solve for x
    x = 35,366,614.79/5,349.74
  6. Step 6: Final answer
    x = 6,610.91

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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.