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Finding the Fourth Proportional to 2,917.04, 4,374.95 and 968.72

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Solution

The fourth proportional to 2,917.04, 4,374.95 and 968.72 is: 1,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.04 : 4,374.95 = 968.72 : x
  2. Step 2: Convert to fraction form
    2,917.04/4,374.95 = 968.72/x
  3. Step 3: Cross multiply
    2,917.04x = 4,374.95 × 968.72
  4. Step 4: Simplify right side
    2,917.04x = 4,238,074.85
  5. Step 5: Solve for x
    x = 4,238,074.85/2,917.04
  6. Step 6: Final answer
    x = 1,452.87

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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.