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Finding the Fourth Proportional to 4,952, 7,421.50 and 2,761.76

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Solution

The fourth proportional to 4,952, 7,421.50 and 2,761.76 is: 4,139.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952 : 7,421.50 = 2,761.76 : x
  2. Step 2: Convert to fraction form
    4,952/7,421.50 = 2,761.76/x
  3. Step 3: Cross multiply
    4,952x = 7,421.50 × 2,761.76
  4. Step 4: Simplify right side
    4,952x = 20,496,401.84
  5. Step 5: Solve for x
    x = 20,496,401.84/4,952
  6. Step 6: Final answer
    x = 4,139.01

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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.