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Finding the Fourth Proportional to 13,007.81, 17,952.91 and 7,974.81

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Solution

The fourth proportional to 13,007.81, 17,952.91 and 7,974.81 is: 11,006.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.81 : 17,952.91 = 7,974.81 : x
  2. Step 2: Convert to fraction form
    13,007.81/17,952.91 = 7,974.81/x
  3. Step 3: Cross multiply
    13,007.81x = 17,952.91 × 7,974.81
  4. Step 4: Simplify right side
    13,007.81x = 143,171,026.26
  5. Step 5: Solve for x
    x = 143,171,026.26/13,007.81
  6. Step 6: Final answer
    x = 11,006.54

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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.