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Finding the Fourth Proportional to 3,478.40, 4,801.50 and 2,301.08

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Solution

The fourth proportional to 3,478.40, 4,801.50 and 2,301.08 is: 3,176.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.40 : 4,801.50 = 2,301.08 : x
  2. Step 2: Convert to fraction form
    3,478.40/4,801.50 = 2,301.08/x
  3. Step 3: Cross multiply
    3,478.40x = 4,801.50 × 2,301.08
  4. Step 4: Simplify right side
    3,478.40x = 11,048,635.62
  5. Step 5: Solve for x
    x = 11,048,635.62/3,478.40
  6. Step 6: Final answer
    x = 3,176.36

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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.