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Finding the Fourth Proportional to 9,964.40, 14,939.40 and 5,583.20

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Solution

The fourth proportional to 9,964.40, 14,939.40 and 5,583.20 is: 8,370.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.40 : 14,939.40 = 5,583.20 : x
  2. Step 2: Convert to fraction form
    9,964.40/14,939.40 = 5,583.20/x
  3. Step 3: Cross multiply
    9,964.40x = 14,939.40 × 5,583.20
  4. Step 4: Simplify right side
    9,964.40x = 83,409,658.08
  5. Step 5: Solve for x
    x = 83,409,658.08/9,964.40
  6. Step 6: Final answer
    x = 8,370.77

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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.