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Finding the Fourth Proportional to 12,606.68, 17,385.90 and 7,891.40

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Solution

The fourth proportional to 12,606.68, 17,385.90 and 7,891.40 is: 10,883.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.68 : 17,385.90 = 7,891.40 : x
  2. Step 2: Convert to fraction form
    12,606.68/17,385.90 = 7,891.40/x
  3. Step 3: Cross multiply
    12,606.68x = 17,385.90 × 7,891.40
  4. Step 4: Simplify right side
    12,606.68x = 137,199,091.26
  5. Step 5: Solve for x
    x = 137,199,091.26/12,606.68
  6. Step 6: Final answer
    x = 10,883.05

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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.