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Finding the Fourth Proportional to 9,994.74, 15,009.14 and 9,576.78

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Solution

The fourth proportional to 9,994.74, 15,009.14 and 9,576.78 is: 14,381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.74 : 15,009.14 = 9,576.78 : x
  2. Step 2: Convert to fraction form
    9,994.74/15,009.14 = 9,576.78/x
  3. Step 3: Cross multiply
    9,994.74x = 15,009.14 × 9,576.78
  4. Step 4: Simplify right side
    9,994.74x = 143,739,231.77
  5. Step 5: Solve for x
    x = 143,739,231.77/9,994.74
  6. Step 6: Final answer
    x = 14,381.49

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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.