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Finding the Fourth Proportional to 7,031.99, 9,704.12 and 3,888.17

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Solution

The fourth proportional to 7,031.99, 9,704.12 and 3,888.17 is: 5,365.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.99 : 9,704.12 = 3,888.17 : x
  2. Step 2: Convert to fraction form
    7,031.99/9,704.12 = 3,888.17/x
  3. Step 3: Cross multiply
    7,031.99x = 9,704.12 × 3,888.17
  4. Step 4: Simplify right side
    7,031.99x = 37,731,273.08
  5. Step 5: Solve for x
    x = 37,731,273.08/7,031.99
  6. Step 6: Final answer
    x = 5,365.66

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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.