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Finding the Fourth Proportional to 21,989.55, 32,977.95 and 6,193.50

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Solution

The fourth proportional to 21,989.55, 32,977.95 and 6,193.50 is: 9,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,989.55 : 32,977.95 = 6,193.50 : x
  2. Step 2: Convert to fraction form
    21,989.55/32,977.95 = 6,193.50/x
  3. Step 3: Cross multiply
    21,989.55x = 32,977.95 × 6,193.50
  4. Step 4: Simplify right side
    21,989.55x = 204,248,933.33
  5. Step 5: Solve for x
    x = 204,248,933.33/21,989.55
  6. Step 6: Final answer
    x = 9,288.45

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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.