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Finding the Fourth Proportional to 12,406.86, 17,107.47 and 9,043.74

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Solution

The fourth proportional to 12,406.86, 17,107.47 and 9,043.74 is: 12,470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.86 : 17,107.47 = 9,043.74 : x
  2. Step 2: Convert to fraction form
    12,406.86/17,107.47 = 9,043.74/x
  3. Step 3: Cross multiply
    12,406.86x = 17,107.47 × 9,043.74
  4. Step 4: Simplify right side
    12,406.86x = 154,715,510.74
  5. Step 5: Solve for x
    x = 154,715,510.74/12,406.86
  6. Step 6: Final answer
    x = 12,470.16

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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.