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Finding the Fourth Proportional to 12,969.88, 17,894.28 and 7,666.48

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Solution

The fourth proportional to 12,969.88, 17,894.28 and 7,666.48 is: 10,577.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.88 : 17,894.28 = 7,666.48 : x
  2. Step 2: Convert to fraction form
    12,969.88/17,894.28 = 7,666.48/x
  3. Step 3: Cross multiply
    12,969.88x = 17,894.28 × 7,666.48
  4. Step 4: Simplify right side
    12,969.88x = 137,186,139.73
  5. Step 5: Solve for x
    x = 137,186,139.73/12,969.88
  6. Step 6: Final answer
    x = 10,577.29

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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.