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Finding the Fourth Proportional to 2,246.64, 3,368.91 and 785.61

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Solution

The fourth proportional to 2,246.64, 3,368.91 and 785.61 is: 1,178.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.64 : 3,368.91 = 785.61 : x
  2. Step 2: Convert to fraction form
    2,246.64/3,368.91 = 785.61/x
  3. Step 3: Cross multiply
    2,246.64x = 3,368.91 × 785.61
  4. Step 4: Simplify right side
    2,246.64x = 2,646,649.39
  5. Step 5: Solve for x
    x = 2,646,649.39/2,246.64
  6. Step 6: Final answer
    x = 1,178.05

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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.