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Finding the Fourth Proportional to 7,855.71, 11,782.35 and 7,421.97

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Solution

The fourth proportional to 7,855.71, 11,782.35 and 7,421.97 is: 11,131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.71 : 11,782.35 = 7,421.97 : x
  2. Step 2: Convert to fraction form
    7,855.71/11,782.35 = 7,421.97/x
  3. Step 3: Cross multiply
    7,855.71x = 11,782.35 × 7,421.97
  4. Step 4: Simplify right side
    7,855.71x = 87,448,248.23
  5. Step 5: Solve for x
    x = 87,448,248.23/7,855.71
  6. Step 6: Final answer
    x = 11,131.81

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1.5x scale

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.