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Finding the Fourth Proportional to 3,610.40, 5,384.80 and 3,548

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Solution

The fourth proportional to 3,610.40, 5,384.80 and 3,548 is: 5,291.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.40 : 5,384.80 = 3,548 : x
  2. Step 2: Convert to fraction form
    3,610.40/5,384.80 = 3,548/x
  3. Step 3: Cross multiply
    3,610.40x = 5,384.80 × 3,548
  4. Step 4: Simplify right side
    3,610.40x = 19,105,270.40
  5. Step 5: Solve for x
    x = 19,105,270.40/3,610.40
  6. Step 6: Final answer
    x = 5,291.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.