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Finding the Fourth Proportional to 8,674, 11,970.72 and 4,948

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Solution

The fourth proportional to 8,674, 11,970.72 and 4,948 is: 6,828.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,674 : 11,970.72 = 4,948 : x
  2. Step 2: Convert to fraction form
    8,674/11,970.72 = 4,948/x
  3. Step 3: Cross multiply
    8,674x = 11,970.72 × 4,948
  4. Step 4: Simplify right side
    8,674x = 59,231,122.56
  5. Step 5: Solve for x
    x = 59,231,122.56/8,674
  6. Step 6: Final answer
    x = 6,828.58

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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.