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Finding the Fourth Proportional to 6,875.63, 9,488.16 and 3,731.81

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Solution

The fourth proportional to 6,875.63, 9,488.16 and 3,731.81 is: 5,149.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.63 : 9,488.16 = 3,731.81 : x
  2. Step 2: Convert to fraction form
    6,875.63/9,488.16 = 3,731.81/x
  3. Step 3: Cross multiply
    6,875.63x = 9,488.16 × 3,731.81
  4. Step 4: Simplify right side
    6,875.63x = 35,408,034.09
  5. Step 5: Solve for x
    x = 35,408,034.09/6,875.63
  6. Step 6: Final answer
    x = 5,149.79

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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.