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Finding the Fourth Proportional to 9,966.15, 13,754.26 and 7,443.89

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Solution

The fourth proportional to 9,966.15, 13,754.26 and 7,443.89 is: 10,273.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.15 : 13,754.26 = 7,443.89 : x
  2. Step 2: Convert to fraction form
    9,966.15/13,754.26 = 7,443.89/x
  3. Step 3: Cross multiply
    9,966.15x = 13,754.26 × 7,443.89
  4. Step 4: Simplify right side
    9,966.15x = 102,385,111.09
  5. Step 5: Solve for x
    x = 102,385,111.09/9,966.15
  6. Step 6: Final answer
    x = 10,273.29

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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.