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Finding the Fourth Proportional to 12,077.05, 16,666.06 and 6,698.62

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Solution

The fourth proportional to 12,077.05, 16,666.06 and 6,698.62 is: 9,243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.05 : 16,666.06 = 6,698.62 : x
  2. Step 2: Convert to fraction form
    12,077.05/16,666.06 = 6,698.62/x
  3. Step 3: Cross multiply
    12,077.05x = 16,666.06 × 6,698.62
  4. Step 4: Simplify right side
    12,077.05x = 111,639,602.84
  5. Step 5: Solve for x
    x = 111,639,602.84/12,077.05
  6. Step 6: Final answer
    x = 9,243.95

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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.