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Finding the Fourth Proportional to 12,296.88, 16,985.70 and 9,947.88

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Solution

The fourth proportional to 12,296.88, 16,985.70 and 9,947.88 is: 13,741.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.88 : 16,985.70 = 9,947.88 : x
  2. Step 2: Convert to fraction form
    12,296.88/16,985.70 = 9,947.88/x
  3. Step 3: Cross multiply
    12,296.88x = 16,985.70 × 9,947.88
  4. Step 4: Simplify right side
    12,296.88x = 168,971,705.32
  5. Step 5: Solve for x
    x = 168,971,705.32/12,296.88
  6. Step 6: Final answer
    x = 13,741.02

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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.