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Finding the Fourth Proportional to 2,214.63, 3,322.35 and 915.39

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Solution

The fourth proportional to 2,214.63, 3,322.35 and 915.39 is: 1,373.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.63 : 3,322.35 = 915.39 : x
  2. Step 2: Convert to fraction form
    2,214.63/3,322.35 = 915.39/x
  3. Step 3: Cross multiply
    2,214.63x = 3,322.35 × 915.39
  4. Step 4: Simplify right side
    2,214.63x = 3,041,245.97
  5. Step 5: Solve for x
    x = 3,041,245.97/2,214.63
  6. Step 6: Final answer
    x = 1,373.25

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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.