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Finding the Fourth Proportional to 3,248.32, 4,872.41 and 1,300

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Solution

The fourth proportional to 3,248.32, 4,872.41 and 1,300 is: 1,949.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.32 : 4,872.41 = 1,300 : x
  2. Step 2: Convert to fraction form
    3,248.32/4,872.41 = 1,300/x
  3. Step 3: Cross multiply
    3,248.32x = 4,872.41 × 1,300
  4. Step 4: Simplify right side
    3,248.32x = 6,334,136.25
  5. Step 5: Solve for x
    x = 6,334,136.25/3,248.32
  6. Step 6: Final answer
    x = 1,949.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.