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Finding the Fourth Proportional to 1,376, 2,064 and 1,298.96

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Solution

The fourth proportional to 1,376, 2,064 and 1,298.96 is: 1,948.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376 : 2,064 = 1,298.96 : x
  2. Step 2: Convert to fraction form
    1,376/2,064 = 1,298.96/x
  3. Step 3: Cross multiply
    1,376x = 2,064 × 1,298.96
  4. Step 4: Simplify right side
    1,376x = 2,681,053.44
  5. Step 5: Solve for x
    x = 2,681,053.44/1,376
  6. Step 6: Final answer
    x = 1,948.44

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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.