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Finding the Fourth Proportional to 4,759.72, 7,138.86 and 1,681

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Solution

The fourth proportional to 4,759.72, 7,138.86 and 1,681 is: 2,521.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,759.72 : 7,138.86 = 1,681 : x
  2. Step 2: Convert to fraction form
    4,759.72/7,138.86 = 1,681/x
  3. Step 3: Cross multiply
    4,759.72x = 7,138.86 × 1,681
  4. Step 4: Simplify right side
    4,759.72x = 12,000,423.66
  5. Step 5: Solve for x
    x = 12,000,423.66/4,759.72
  6. Step 6: Final answer
    x = 2,521.25

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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.