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Finding the Fourth Proportional to 2,298.39, 3,447.59 and 999.86

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Solution

The fourth proportional to 2,298.39, 3,447.59 and 999.86 is: 1,499.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.39 : 3,447.59 = 999.86 : x
  2. Step 2: Convert to fraction form
    2,298.39/3,447.59 = 999.86/x
  3. Step 3: Cross multiply
    2,298.39x = 3,447.59 × 999.86
  4. Step 4: Simplify right side
    2,298.39x = 3,447,107.34
  5. Step 5: Solve for x
    x = 3,447,107.34/2,298.39
  6. Step 6: Final answer
    x = 1,499.79

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Similar ratio
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1.5x scale

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.