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Finding the Fourth Proportional to 3,068.65, 4,603.14 and 877.71

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Solution

The fourth proportional to 3,068.65, 4,603.14 and 877.71 is: 1,316.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.65 : 4,603.14 = 877.71 : x
  2. Step 2: Convert to fraction form
    3,068.65/4,603.14 = 877.71/x
  3. Step 3: Cross multiply
    3,068.65x = 4,603.14 × 877.71
  4. Step 4: Simplify right side
    3,068.65x = 4,040,217.62
  5. Step 5: Solve for x
    x = 4,040,217.62/3,068.65
  6. Step 6: Final answer
    x = 1,316.61

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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.