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Finding the Fourth Proportional to 2,610.64, 3,916.08 and 1,311.64

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Solution

The fourth proportional to 2,610.64, 3,916.08 and 1,311.64 is: 1,967.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.64 : 3,916.08 = 1,311.64 : x
  2. Step 2: Convert to fraction form
    2,610.64/3,916.08 = 1,311.64/x
  3. Step 3: Cross multiply
    2,610.64x = 3,916.08 × 1,311.64
  4. Step 4: Simplify right side
    2,610.64x = 5,136,487.17
  5. Step 5: Solve for x
    x = 5,136,487.17/2,610.64
  6. Step 6: Final answer
    x = 1,967.52

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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.