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Finding the Fourth Proportional to 4,972.86, 7,459.29 and 2,509.76

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Solution

The fourth proportional to 4,972.86, 7,459.29 and 2,509.76 is: 3,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.86 : 7,459.29 = 2,509.76 : x
  2. Step 2: Convert to fraction form
    4,972.86/7,459.29 = 2,509.76/x
  3. Step 3: Cross multiply
    4,972.86x = 7,459.29 × 2,509.76
  4. Step 4: Simplify right side
    4,972.86x = 18,721,046.32
  5. Step 5: Solve for x
    x = 18,721,046.32/4,972.86
  6. Step 6: Final answer
    x = 3,764.64

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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.