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Finding the Fourth Proportional to 7,572.34, 11,358.38 and 3,409.40

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Solution

The fourth proportional to 7,572.34, 11,358.38 and 3,409.40 is: 5,114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.34 : 11,358.38 = 3,409.40 : x
  2. Step 2: Convert to fraction form
    7,572.34/11,358.38 = 3,409.40/x
  3. Step 3: Cross multiply
    7,572.34x = 11,358.38 × 3,409.40
  4. Step 4: Simplify right side
    7,572.34x = 38,725,260.77
  5. Step 5: Solve for x
    x = 38,725,260.77/7,572.34
  6. Step 6: Final answer
    x = 5,114.04

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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.