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Finding the Fourth Proportional to 12,674.47, 17,490.43 and 7,009.06

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Solution

The fourth proportional to 12,674.47, 17,490.43 and 7,009.06 is: 9,672.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.47 : 17,490.43 = 7,009.06 : x
  2. Step 2: Convert to fraction form
    12,674.47/17,490.43 = 7,009.06/x
  3. Step 3: Cross multiply
    12,674.47x = 17,490.43 × 7,009.06
  4. Step 4: Simplify right side
    12,674.47x = 122,591,350.80
  5. Step 5: Solve for x
    x = 122,591,350.80/12,674.47
  6. Step 6: Final answer
    x = 9,672.31

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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.