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Finding the Fourth Proportional to 2,306.60, 3,457.76 and 919.60

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Solution

The fourth proportional to 2,306.60, 3,457.76 and 919.60 is: 1,378.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.60 : 3,457.76 = 919.60 : x
  2. Step 2: Convert to fraction form
    2,306.60/3,457.76 = 919.60/x
  3. Step 3: Cross multiply
    2,306.60x = 3,457.76 × 919.60
  4. Step 4: Simplify right side
    2,306.60x = 3,179,749.75
  5. Step 5: Solve for x
    x = 3,179,749.75/2,306.60
  6. Step 6: Final answer
    x = 1,378.55

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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.