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Finding the Fourth Proportional to 2,376, 3,278.88 and 1,588.80

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Solution

The fourth proportional to 2,376, 3,278.88 and 1,588.80 is: 2,192.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376 : 3,278.88 = 1,588.80 : x
  2. Step 2: Convert to fraction form
    2,376/3,278.88 = 1,588.80/x
  3. Step 3: Cross multiply
    2,376x = 3,278.88 × 1,588.80
  4. Step 4: Simplify right side
    2,376x = 5,209,484.54
  5. Step 5: Solve for x
    x = 5,209,484.54/2,376
  6. Step 6: Final answer
    x = 2,192.54

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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.