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Finding the Fourth Proportional to 6,988.64, 9,644.50 and 3,802.11

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Solution

The fourth proportional to 6,988.64, 9,644.50 and 3,802.11 is: 5,247.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.64 : 9,644.50 = 3,802.11 : x
  2. Step 2: Convert to fraction form
    6,988.64/9,644.50 = 3,802.11/x
  3. Step 3: Cross multiply
    6,988.64x = 9,644.50 × 3,802.11
  4. Step 4: Simplify right side
    6,988.64x = 36,669,499.86
  5. Step 5: Solve for x
    x = 36,669,499.86/6,988.64
  6. Step 6: Final answer
    x = 5,247.02

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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.