Home / 1,927.56-2,660.58-1,142.16

Finding the Fourth Proportional to 1,927.56, 2,660.58 and 1,142.16

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Solution

The fourth proportional to 1,927.56, 2,660.58 and 1,142.16 is: 1,576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.56 : 2,660.58 = 1,142.16 : x
  2. Step 2: Convert to fraction form
    1,927.56/2,660.58 = 1,142.16/x
  3. Step 3: Cross multiply
    1,927.56x = 2,660.58 × 1,142.16
  4. Step 4: Simplify right side
    1,927.56x = 3,038,808.05
  5. Step 5: Solve for x
    x = 3,038,808.05/1,927.56
  6. Step 6: Final answer
    x = 1,576.51

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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.