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Finding the Fourth Proportional to 12,218.00, 16,871.18 and 7,749.68

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Solution

The fourth proportional to 12,218.00, 16,871.18 and 7,749.68 is: 10,701.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,218.00 : 16,871.18 = 7,749.68 : x
  2. Step 2: Convert to fraction form
    12,218.00/16,871.18 = 7,749.68/x
  3. Step 3: Cross multiply
    12,218.00x = 16,871.18 × 7,749.68
  4. Step 4: Simplify right side
    12,218.00x = 130,746,123.12
  5. Step 5: Solve for x
    x = 130,746,123.12/12,218.00
  6. Step 6: Final answer
    x = 10,701.11

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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.