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Finding the Fourth Proportional to 3,117.52, 4,676.26 and 925.96

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Solution

The fourth proportional to 3,117.52, 4,676.26 and 925.96 is: 1,388.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.52 : 4,676.26 = 925.96 : x
  2. Step 2: Convert to fraction form
    3,117.52/4,676.26 = 925.96/x
  3. Step 3: Cross multiply
    3,117.52x = 4,676.26 × 925.96
  4. Step 4: Simplify right side
    3,117.52x = 4,330,029.71
  5. Step 5: Solve for x
    x = 4,330,029.71/3,117.52
  6. Step 6: Final answer
    x = 1,388.93

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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.