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Finding the Fourth Proportional to 12,651.48, 17,458.94 and 6,986.61

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Solution

The fourth proportional to 12,651.48, 17,458.94 and 6,986.61 is: 9,641.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,651.48 : 17,458.94 = 6,986.61 : x
  2. Step 2: Convert to fraction form
    12,651.48/17,458.94 = 6,986.61/x
  3. Step 3: Cross multiply
    12,651.48x = 17,458.94 × 6,986.61
  4. Step 4: Simplify right side
    12,651.48x = 121,978,822.26
  5. Step 5: Solve for x
    x = 121,978,822.26/12,651.48
  6. Step 6: Final answer
    x = 9,641.47

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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.