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Finding the Fourth Proportional to 1,242.96, 1,865.16 and 919.08

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Solution

The fourth proportional to 1,242.96, 1,865.16 and 919.08 is: 1,379.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.96 : 1,865.16 = 919.08 : x
  2. Step 2: Convert to fraction form
    1,242.96/1,865.16 = 919.08/x
  3. Step 3: Cross multiply
    1,242.96x = 1,865.16 × 919.08
  4. Step 4: Simplify right side
    1,242.96x = 1,714,231.25
  5. Step 5: Solve for x
    x = 1,714,231.25/1,242.96
  6. Step 6: Final answer
    x = 1,379.15

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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.