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Finding the Fourth Proportional to 12,952.10, 17,879.86 and 9,766.68

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Solution

The fourth proportional to 12,952.10, 17,879.86 and 9,766.68 is: 13,482.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.10 : 17,879.86 = 9,766.68 : x
  2. Step 2: Convert to fraction form
    12,952.10/17,879.86 = 9,766.68/x
  3. Step 3: Cross multiply
    12,952.10x = 17,879.86 × 9,766.68
  4. Step 4: Simplify right side
    12,952.10x = 174,626,846.65
  5. Step 5: Solve for x
    x = 174,626,846.65/12,952.10
  6. Step 6: Final answer
    x = 13,482.51

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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.