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Finding the Fourth Proportional to 13,031.80, 17,982.78 and 7,653.66

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Solution

The fourth proportional to 13,031.80, 17,982.78 and 7,653.66 is: 10,561.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.80 : 17,982.78 = 7,653.66 : x
  2. Step 2: Convert to fraction form
    13,031.80/17,982.78 = 7,653.66/x
  3. Step 3: Cross multiply
    13,031.80x = 17,982.78 × 7,653.66
  4. Step 4: Simplify right side
    13,031.80x = 137,634,083.97
  5. Step 5: Solve for x
    x = 137,634,083.97/13,031.80
  6. Step 6: Final answer
    x = 10,561.40

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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.