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Finding the Fourth Proportional to 1,842.91, 2,762.35 and 919.15

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Solution

The fourth proportional to 1,842.91, 2,762.35 and 919.15 is: 1,377.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.91 : 2,762.35 = 919.15 : x
  2. Step 2: Convert to fraction form
    1,842.91/2,762.35 = 919.15/x
  3. Step 3: Cross multiply
    1,842.91x = 2,762.35 × 919.15
  4. Step 4: Simplify right side
    1,842.91x = 2,539,014.00
  5. Step 5: Solve for x
    x = 2,539,014.00/1,842.91
  6. Step 6: Final answer
    x = 1,377.72

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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.