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Finding the Fourth Proportional to 21,775.72, 32,663.76 and 6,984.66

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Solution

The fourth proportional to 21,775.72, 32,663.76 and 6,984.66 is: 10,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,775.72 : 32,663.76 = 6,984.66 : x
  2. Step 2: Convert to fraction form
    21,775.72/32,663.76 = 6,984.66/x
  3. Step 3: Cross multiply
    21,775.72x = 32,663.76 × 6,984.66
  4. Step 4: Simplify right side
    21,775.72x = 228,145,257.92
  5. Step 5: Solve for x
    x = 228,145,257.92/21,775.72
  6. Step 6: Final answer
    x = 10,477.05

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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.