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Finding the Fourth Proportional to 2,215, 3,322.48 and 916.48

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Solution

The fourth proportional to 2,215, 3,322.48 and 916.48 is: 1,374.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215 : 3,322.48 = 916.48 : x
  2. Step 2: Convert to fraction form
    2,215/3,322.48 = 916.48/x
  3. Step 3: Cross multiply
    2,215x = 3,322.48 × 916.48
  4. Step 4: Simplify right side
    2,215x = 3,044,986.47
  5. Step 5: Solve for x
    x = 3,044,986.47/2,215
  6. Step 6: Final answer
    x = 1,374.71

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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.