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Finding the Fourth Proportional to 12,224.66, 16,868.86 and 9,712.85

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Solution

The fourth proportional to 12,224.66, 16,868.86 and 9,712.85 is: 13,402.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.66 : 16,868.86 = 9,712.85 : x
  2. Step 2: Convert to fraction form
    12,224.66/16,868.86 = 9,712.85/x
  3. Step 3: Cross multiply
    12,224.66x = 16,868.86 × 9,712.85
  4. Step 4: Simplify right side
    12,224.66x = 163,844,598.22
  5. Step 5: Solve for x
    x = 163,844,598.22/12,224.66
  6. Step 6: Final answer
    x = 13,402.80

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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.