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Finding the Fourth Proportional to 7,150, 10,730.76 and 3,688.24

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Solution

The fourth proportional to 7,150, 10,730.76 and 3,688.24 is: 5,535.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,150 : 10,730.76 = 3,688.24 : x
  2. Step 2: Convert to fraction form
    7,150/10,730.76 = 3,688.24/x
  3. Step 3: Cross multiply
    7,150x = 10,730.76 × 3,688.24
  4. Step 4: Simplify right side
    7,150x = 39,577,618.26
  5. Step 5: Solve for x
    x = 39,577,618.26/7,150
  6. Step 6: Final answer
    x = 5,535.33

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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.