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Finding the Fourth Proportional to 4,640.79, 6,962.09 and 1,353.90

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Solution

The fourth proportional to 4,640.79, 6,962.09 and 1,353.90 is: 2,031.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.79 : 6,962.09 = 1,353.90 : x
  2. Step 2: Convert to fraction form
    4,640.79/6,962.09 = 1,353.90/x
  3. Step 3: Cross multiply
    4,640.79x = 6,962.09 × 1,353.90
  4. Step 4: Simplify right side
    4,640.79x = 9,425,966.88
  5. Step 5: Solve for x
    x = 9,425,966.88/4,640.79
  6. Step 6: Final answer
    x = 2,031.11

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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.