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Finding the Fourth Proportional to 9,351, 14,005.90 and 7,729.74

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Solution

The fourth proportional to 9,351, 14,005.90 and 7,729.74 is: 11,577.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351 : 14,005.90 = 7,729.74 : x
  2. Step 2: Convert to fraction form
    9,351/14,005.90 = 7,729.74/x
  3. Step 3: Cross multiply
    9,351x = 14,005.90 × 7,729.74
  4. Step 4: Simplify right side
    9,351x = 108,261,965.47
  5. Step 5: Solve for x
    x = 108,261,965.47/9,351
  6. Step 6: Final answer
    x = 11,577.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.