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Finding the Fourth Proportional to 7,013.77, 9,678.32 and 3,869.75

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Solution

The fourth proportional to 7,013.77, 9,678.32 and 3,869.75 is: 5,339.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.77 : 9,678.32 = 3,869.75 : x
  2. Step 2: Convert to fraction form
    7,013.77/9,678.32 = 3,869.75/x
  3. Step 3: Cross multiply
    7,013.77x = 9,678.32 × 3,869.75
  4. Step 4: Simplify right side
    7,013.77x = 37,452,712.69
  5. Step 5: Solve for x
    x = 37,452,712.69/7,013.77
  6. Step 6: Final answer
    x = 5,339.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.