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Finding the Fourth Proportional to 6,648.34, 9,963.10 and 3,688.08

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Solution

The fourth proportional to 6,648.34, 9,963.10 and 3,688.08 is: 5,526.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.34 : 9,963.10 = 3,688.08 : x
  2. Step 2: Convert to fraction form
    6,648.34/9,963.10 = 3,688.08/x
  3. Step 3: Cross multiply
    6,648.34x = 9,963.10 × 3,688.08
  4. Step 4: Simplify right side
    6,648.34x = 36,744,700.63
  5. Step 5: Solve for x
    x = 36,744,700.63/6,648.34
  6. Step 6: Final answer
    x = 5,526.90

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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.