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Finding the Fourth Proportional to 2,651.10, 3,978.08 and 1,557.60

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Solution

The fourth proportional to 2,651.10, 3,978.08 and 1,557.60 is: 2,337.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.10 : 3,978.08 = 1,557.60 : x
  2. Step 2: Convert to fraction form
    2,651.10/3,978.08 = 1,557.60/x
  3. Step 3: Cross multiply
    2,651.10x = 3,978.08 × 1,557.60
  4. Step 4: Simplify right side
    2,651.10x = 6,196,257.41
  5. Step 5: Solve for x
    x = 6,196,257.41/2,651.10
  6. Step 6: Final answer
    x = 2,337.24

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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.