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Finding the Fourth Proportional to 21,778.06, 32,666.97 and 7,927.06

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Solution

The fourth proportional to 21,778.06, 32,666.97 and 7,927.06 is: 11,890.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,778.06 : 32,666.97 = 7,927.06 : x
  2. Step 2: Convert to fraction form
    21,778.06/32,666.97 = 7,927.06/x
  3. Step 3: Cross multiply
    21,778.06x = 32,666.97 × 7,927.06
  4. Step 4: Simplify right side
    21,778.06x = 258,953,031.21
  5. Step 5: Solve for x
    x = 258,953,031.21/21,778.06
  6. Step 6: Final answer
    x = 11,890.55

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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.