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Finding the Fourth Proportional to 9,582, 13,223.78 and 5,390.25

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Solution

The fourth proportional to 9,582, 13,223.78 and 5,390.25 is: 7,438.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582 : 13,223.78 = 5,390.25 : x
  2. Step 2: Convert to fraction form
    9,582/13,223.78 = 5,390.25/x
  3. Step 3: Cross multiply
    9,582x = 13,223.78 × 5,390.25
  4. Step 4: Simplify right side
    9,582x = 71,279,453.19
  5. Step 5: Solve for x
    x = 71,279,453.19/9,582
  6. Step 6: Final answer
    x = 7,438.89

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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.