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Finding the Fourth Proportional to 3,875.57, 5,809.94 and 1,409.96

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Solution

The fourth proportional to 3,875.57, 5,809.94 and 1,409.96 is: 2,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.57 : 5,809.94 = 1,409.96 : x
  2. Step 2: Convert to fraction form
    3,875.57/5,809.94 = 1,409.96/x
  3. Step 3: Cross multiply
    3,875.57x = 5,809.94 × 1,409.96
  4. Step 4: Simplify right side
    3,875.57x = 8,191,795.76
  5. Step 5: Solve for x
    x = 8,191,795.76/3,875.57
  6. Step 6: Final answer
    x = 2,113.70

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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.