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Finding the Fourth Proportional to 21,972.63, 32,953.76 and 8,645.14

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Solution

The fourth proportional to 21,972.63, 32,953.76 and 8,645.14 is: 12,965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,972.63 : 32,953.76 = 8,645.14 : x
  2. Step 2: Convert to fraction form
    21,972.63/32,953.76 = 8,645.14/x
  3. Step 3: Cross multiply
    21,972.63x = 32,953.76 × 8,645.14
  4. Step 4: Simplify right side
    21,972.63x = 284,889,969.77
  5. Step 5: Solve for x
    x = 284,889,969.77/21,972.63
  6. Step 6: Final answer
    x = 12,965.67

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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.