Home / 1,928.64-2,660.56-1,142.40

Finding the Fourth Proportional to 1,928.64, 2,660.56 and 1,142.40

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Solution

The fourth proportional to 1,928.64, 2,660.56 and 1,142.40 is: 1,575.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.64 : 2,660.56 = 1,142.40 : x
  2. Step 2: Convert to fraction form
    1,928.64/2,660.56 = 1,142.40/x
  3. Step 3: Cross multiply
    1,928.64x = 2,660.56 × 1,142.40
  4. Step 4: Simplify right side
    1,928.64x = 3,039,423.74
  5. Step 5: Solve for x
    x = 3,039,423.74/1,928.64
  6. Step 6: Final answer
    x = 1,575.94

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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.