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Finding the Fourth Proportional to 12,678.26, 17,491.73 and 7,368.71

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Solution

The fourth proportional to 12,678.26, 17,491.73 and 7,368.71 is: 10,166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.26 : 17,491.73 = 7,368.71 : x
  2. Step 2: Convert to fraction form
    12,678.26/17,491.73 = 7,368.71/x
  3. Step 3: Cross multiply
    12,678.26x = 17,491.73 × 7,368.71
  4. Step 4: Simplify right side
    12,678.26x = 128,891,361.47
  5. Step 5: Solve for x
    x = 128,891,361.47/12,678.26
  6. Step 6: Final answer
    x = 10,166.33

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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.