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Finding the Fourth Proportional to 15,849, 21,871.95 and 8,679.22

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Solution

The fourth proportional to 15,849, 21,871.95 and 8,679.22 is: 11,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,849 : 21,871.95 = 8,679.22 : x
  2. Step 2: Convert to fraction form
    15,849/21,871.95 = 8,679.22/x
  3. Step 3: Cross multiply
    15,849x = 21,871.95 × 8,679.22
  4. Step 4: Simplify right side
    15,849x = 189,831,465.88
  5. Step 5: Solve for x
    x = 189,831,465.88/15,849
  6. Step 6: Final answer
    x = 11,977.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.