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Finding the Fourth Proportional to 12,201.84, 16,829.64 and 7,726.32

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Solution

The fourth proportional to 12,201.84, 16,829.64 and 7,726.32 is: 10,656.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.84 : 16,829.64 = 7,726.32 : x
  2. Step 2: Convert to fraction form
    12,201.84/16,829.64 = 7,726.32/x
  3. Step 3: Cross multiply
    12,201.84x = 16,829.64 × 7,726.32
  4. Step 4: Simplify right side
    12,201.84x = 130,031,184.12
  5. Step 5: Solve for x
    x = 130,031,184.12/12,201.84
  6. Step 6: Final answer
    x = 10,656.69

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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.