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Finding the Fourth Proportional to 2,346.94, 3,519.08 and 786.10

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Solution

The fourth proportional to 2,346.94, 3,519.08 and 786.10 is: 1,178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.94 : 3,519.08 = 786.10 : x
  2. Step 2: Convert to fraction form
    2,346.94/3,519.08 = 786.10/x
  3. Step 3: Cross multiply
    2,346.94x = 3,519.08 × 786.10
  4. Step 4: Simplify right side
    2,346.94x = 2,766,348.79
  5. Step 5: Solve for x
    x = 2,766,348.79/2,346.94
  6. Step 6: Final answer
    x = 1,178.70

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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.