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Finding the Fourth Proportional to 2,346.19, 3,516.84 and 785.02

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Solution

The fourth proportional to 2,346.19, 3,516.84 and 785.02 is: 1,176.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.19 : 3,516.84 = 785.02 : x
  2. Step 2: Convert to fraction form
    2,346.19/3,516.84 = 785.02/x
  3. Step 3: Cross multiply
    2,346.19x = 3,516.84 × 785.02
  4. Step 4: Simplify right side
    2,346.19x = 2,760,772.15
  5. Step 5: Solve for x
    x = 2,760,772.15/2,346.19
  6. Step 6: Final answer
    x = 1,176.71

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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.