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Finding the Fourth Proportional to 6,897.72, 9,519.57 and 4,065.99

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Solution

The fourth proportional to 6,897.72, 9,519.57 and 4,065.99 is: 5,611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.72 : 9,519.57 = 4,065.99 : x
  2. Step 2: Convert to fraction form
    6,897.72/9,519.57 = 4,065.99/x
  3. Step 3: Cross multiply
    6,897.72x = 9,519.57 × 4,065.99
  4. Step 4: Simplify right side
    6,897.72x = 38,706,476.42
  5. Step 5: Solve for x
    x = 38,706,476.42/6,897.72
  6. Step 6: Final answer
    x = 5,611.49

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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.