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Finding the Fourth Proportional to 12,221.95, 16,868.09 and 7,746.11

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Solution

The fourth proportional to 12,221.95, 16,868.09 and 7,746.11 is: 10,690.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.95 : 16,868.09 = 7,746.11 : x
  2. Step 2: Convert to fraction form
    12,221.95/16,868.09 = 7,746.11/x
  3. Step 3: Cross multiply
    12,221.95x = 16,868.09 × 7,746.11
  4. Step 4: Simplify right side
    12,221.95x = 130,662,080.63
  5. Step 5: Solve for x
    x = 130,662,080.63/12,221.95
  6. Step 6: Final answer
    x = 10,690.77

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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.