Home / 2,155.32-2,972.84-1,409.76

Finding the Fourth Proportional to 2,155.32, 2,972.84 and 1,409.76

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Solution

The fourth proportional to 2,155.32, 2,972.84 and 1,409.76 is: 1,944.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.32 : 2,972.84 = 1,409.76 : x
  2. Step 2: Convert to fraction form
    2,155.32/2,972.84 = 1,409.76/x
  3. Step 3: Cross multiply
    2,155.32x = 2,972.84 × 1,409.76
  4. Step 4: Simplify right side
    2,155.32x = 4,190,990.92
  5. Step 5: Solve for x
    x = 4,190,990.92/2,155.32
  6. Step 6: Final answer
    x = 1,944.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.