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Finding the Fourth Proportional to 1,861.60, 2,794.14 and 1,415.28

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Solution

The fourth proportional to 1,861.60, 2,794.14 and 1,415.28 is: 2,124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.60 : 2,794.14 = 1,415.28 : x
  2. Step 2: Convert to fraction form
    1,861.60/2,794.14 = 1,415.28/x
  3. Step 3: Cross multiply
    1,861.60x = 2,794.14 × 1,415.28
  4. Step 4: Simplify right side
    1,861.60x = 3,954,490.46
  5. Step 5: Solve for x
    x = 3,954,490.46/1,861.60
  6. Step 6: Final answer
    x = 2,124.24

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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.