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Finding the Fourth Proportional to 6,646.84, 9,971.34 and 2,753.98

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Solution

The fourth proportional to 6,646.84, 9,971.34 and 2,753.98 is: 4,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.84 : 9,971.34 = 2,753.98 : x
  2. Step 2: Convert to fraction form
    6,646.84/9,971.34 = 2,753.98/x
  3. Step 3: Cross multiply
    6,646.84x = 9,971.34 × 2,753.98
  4. Step 4: Simplify right side
    6,646.84x = 27,460,870.93
  5. Step 5: Solve for x
    x = 27,460,870.93/6,646.84
  6. Step 6: Final answer
    x = 4,131.42

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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.