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Finding the Fourth Proportional to 2,345.07, 3,517.61 and 785.32

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Solution

The fourth proportional to 2,345.07, 3,517.61 and 785.32 is: 1,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.07 : 3,517.61 = 785.32 : x
  2. Step 2: Convert to fraction form
    2,345.07/3,517.61 = 785.32/x
  3. Step 3: Cross multiply
    2,345.07x = 3,517.61 × 785.32
  4. Step 4: Simplify right side
    2,345.07x = 2,762,449.49
  5. Step 5: Solve for x
    x = 2,762,449.49/2,345.07
  6. Step 6: Final answer
    x = 1,177.98

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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.