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Finding the Fourth Proportional to 3,240.32, 4,859.76 and 1,508

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Solution

The fourth proportional to 3,240.32, 4,859.76 and 1,508 is: 2,261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,240.32 : 4,859.76 = 1,508 : x
  2. Step 2: Convert to fraction form
    3,240.32/4,859.76 = 1,508/x
  3. Step 3: Cross multiply
    3,240.32x = 4,859.76 × 1,508
  4. Step 4: Simplify right side
    3,240.32x = 7,328,518.08
  5. Step 5: Solve for x
    x = 7,328,518.08/3,240.32
  6. Step 6: Final answer
    x = 2,261.66

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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.