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Finding the Fourth Proportional to 12,698.57, 17,518.19 and 8,223.79

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Solution

The fourth proportional to 12,698.57, 17,518.19 and 8,223.79 is: 11,345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.57 : 17,518.19 = 8,223.79 : x
  2. Step 2: Convert to fraction form
    12,698.57/17,518.19 = 8,223.79/x
  3. Step 3: Cross multiply
    12,698.57x = 17,518.19 × 8,223.79
  4. Step 4: Simplify right side
    12,698.57x = 144,065,830.83
  5. Step 5: Solve for x
    x = 144,065,830.83/12,698.57
  6. Step 6: Final answer
    x = 11,345.05

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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.