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Finding the Fourth Proportional to 21,205.92, 31,808.88 and 7,166.01

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Solution

The fourth proportional to 21,205.92, 31,808.88 and 7,166.01 is: 10,749.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.92 : 31,808.88 = 7,166.01 : x
  2. Step 2: Convert to fraction form
    21,205.92/31,808.88 = 7,166.01/x
  3. Step 3: Cross multiply
    21,205.92x = 31,808.88 × 7,166.01
  4. Step 4: Simplify right side
    21,205.92x = 227,942,752.17
  5. Step 5: Solve for x
    x = 227,942,752.17/21,205.92
  6. Step 6: Final answer
    x = 10,749.02

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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.