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Finding the Fourth Proportional to 9,660, 13,333.30 and 5,885.70

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Solution

The fourth proportional to 9,660, 13,333.30 and 5,885.70 is: 8,123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660 : 13,333.30 = 5,885.70 : x
  2. Step 2: Convert to fraction form
    9,660/13,333.30 = 5,885.70/x
  3. Step 3: Cross multiply
    9,660x = 13,333.30 × 5,885.70
  4. Step 4: Simplify right side
    9,660x = 78,475,803.81
  5. Step 5: Solve for x
    x = 78,475,803.81/9,660
  6. Step 6: Final answer
    x = 8,123.79

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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.