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Finding the Fourth Proportional to 3,095, 4,642.77 and 786.50

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Solution

The fourth proportional to 3,095, 4,642.77 and 786.50 is: 1,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095 : 4,642.77 = 786.50 : x
  2. Step 2: Convert to fraction form
    3,095/4,642.77 = 786.50/x
  3. Step 3: Cross multiply
    3,095x = 4,642.77 × 786.50
  4. Step 4: Simplify right side
    3,095x = 3,651,538.61
  5. Step 5: Solve for x
    x = 3,651,538.61/3,095
  6. Step 6: Final answer
    x = 1,179.82

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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.