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Finding the Fourth Proportional to 2,913.67, 4,367.03 and 1,678.52

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Solution

The fourth proportional to 2,913.67, 4,367.03 and 1,678.52 is: 2,515.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.67 : 4,367.03 = 1,678.52 : x
  2. Step 2: Convert to fraction form
    2,913.67/4,367.03 = 1,678.52/x
  3. Step 3: Cross multiply
    2,913.67x = 4,367.03 × 1,678.52
  4. Step 4: Simplify right side
    2,913.67x = 7,330,125.36
  5. Step 5: Solve for x
    x = 7,330,125.36/2,913.67
  6. Step 6: Final answer
    x = 2,515.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.