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Finding the Fourth Proportional to 17,947.12, 24,763.98 and 9,989.29

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Solution

The fourth proportional to 17,947.12, 24,763.98 and 9,989.29 is: 13,783.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,947.12 : 24,763.98 = 9,989.29 : x
  2. Step 2: Convert to fraction form
    17,947.12/24,763.98 = 9,989.29/x
  3. Step 3: Cross multiply
    17,947.12x = 24,763.98 × 9,989.29
  4. Step 4: Simplify right side
    17,947.12x = 247,374,577.77
  5. Step 5: Solve for x
    x = 247,374,577.77/17,947.12
  6. Step 6: Final answer
    x = 13,783.53

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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.