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Finding the Fourth Proportional to 2,376, 3,278.88 and 1,328.16

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Solution

The fourth proportional to 2,376, 3,278.88 and 1,328.16 is: 1,832.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376 : 3,278.88 = 1,328.16 : x
  2. Step 2: Convert to fraction form
    2,376/3,278.88 = 1,328.16/x
  3. Step 3: Cross multiply
    2,376x = 3,278.88 × 1,328.16
  4. Step 4: Simplify right side
    2,376x = 4,354,877.26
  5. Step 5: Solve for x
    x = 4,354,877.26/2,376
  6. Step 6: Final answer
    x = 1,832.86

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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.