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Finding the Fourth Proportional to 9,069, 13,605.78 and 4,391.25

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Solution

The fourth proportional to 9,069, 13,605.78 and 4,391.25 is: 6,587.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,069 : 13,605.78 = 4,391.25 : x
  2. Step 2: Convert to fraction form
    9,069/13,605.78 = 4,391.25/x
  3. Step 3: Cross multiply
    9,069x = 13,605.78 × 4,391.25
  4. Step 4: Simplify right side
    9,069x = 59,746,381.43
  5. Step 5: Solve for x
    x = 59,746,381.43/9,069
  6. Step 6: Final answer
    x = 6,587.98

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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.