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Finding the Fourth Proportional to 9,210.57, 13,806 and 3,656.22

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Solution

The fourth proportional to 9,210.57, 13,806 and 3,656.22 is: 5,480.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210.57 : 13,806 = 3,656.22 : x
  2. Step 2: Convert to fraction form
    9,210.57/13,806 = 3,656.22/x
  3. Step 3: Cross multiply
    9,210.57x = 13,806 × 3,656.22
  4. Step 4: Simplify right side
    9,210.57x = 50,477,773.32
  5. Step 5: Solve for x
    x = 50,477,773.32/9,210.57
  6. Step 6: Final answer
    x = 5,480.42

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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.