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Finding the Fourth Proportional to 12,513.69, 18,754.07 and 6,969.65

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Solution

The fourth proportional to 12,513.69, 18,754.07 and 6,969.65 is: 10,445.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,513.69 : 18,754.07 = 6,969.65 : x
  2. Step 2: Convert to fraction form
    12,513.69/18,754.07 = 6,969.65/x
  3. Step 3: Cross multiply
    12,513.69x = 18,754.07 × 6,969.65
  4. Step 4: Simplify right side
    12,513.69x = 130,709,175.36
  5. Step 5: Solve for x
    x = 130,709,175.36/12,513.69
  6. Step 6: Final answer
    x = 10,445.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.