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Finding the Fourth Proportional to 3,931, 5,424.78 and 2,275

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Solution

The fourth proportional to 3,931, 5,424.78 and 2,275 is: 3,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931 : 5,424.78 = 2,275 : x
  2. Step 2: Convert to fraction form
    3,931/5,424.78 = 2,275/x
  3. Step 3: Cross multiply
    3,931x = 5,424.78 × 2,275
  4. Step 4: Simplify right side
    3,931x = 12,341,374.50
  5. Step 5: Solve for x
    x = 12,341,374.50/3,931
  6. Step 6: Final answer
    x = 3,139.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.