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Finding the Fourth Proportional to 6,223, 8,587.80 and 3,428.56

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Solution

The fourth proportional to 6,223, 8,587.80 and 3,428.56 is: 4,731.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223 : 8,587.80 = 3,428.56 : x
  2. Step 2: Convert to fraction form
    6,223/8,587.80 = 3,428.56/x
  3. Step 3: Cross multiply
    6,223x = 8,587.80 × 3,428.56
  4. Step 4: Simplify right side
    6,223x = 29,443,787.57
  5. Step 5: Solve for x
    x = 29,443,787.57/6,223
  6. Step 6: Final answer
    x = 4,731.45

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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.