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Finding the Fourth Proportional to 6,999.42, 9,651.78 and 6,294.06

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Solution

The fourth proportional to 6,999.42, 9,651.78 and 6,294.06 is: 8,679.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.42 : 9,651.78 = 6,294.06 : x
  2. Step 2: Convert to fraction form
    6,999.42/9,651.78 = 6,294.06/x
  3. Step 3: Cross multiply
    6,999.42x = 9,651.78 × 6,294.06
  4. Step 4: Simplify right side
    6,999.42x = 60,748,882.43
  5. Step 5: Solve for x
    x = 60,748,882.43/6,999.42
  6. Step 6: Final answer
    x = 8,679.13

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1.5x scale

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.