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Finding the Fourth Proportional to 12,678.39, 17,490.28 and 8,203.58

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Solution

The fourth proportional to 12,678.39, 17,490.28 and 8,203.58 is: 11,317.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.39 : 17,490.28 = 8,203.58 : x
  2. Step 2: Convert to fraction form
    12,678.39/17,490.28 = 8,203.58/x
  3. Step 3: Cross multiply
    12,678.39x = 17,490.28 × 8,203.58
  4. Step 4: Simplify right side
    12,678.39x = 143,482,954.93
  5. Step 5: Solve for x
    x = 143,482,954.93/12,678.39
  6. Step 6: Final answer
    x = 11,317.13

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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.