Home / 1,580.56-2,371.74-931.75

Finding the Fourth Proportional to 1,580.56, 2,371.74 and 931.75

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Solution

The fourth proportional to 1,580.56, 2,371.74 and 931.75 is: 1,398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.56 : 2,371.74 = 931.75 : x
  2. Step 2: Convert to fraction form
    1,580.56/2,371.74 = 931.75/x
  3. Step 3: Cross multiply
    1,580.56x = 2,371.74 × 931.75
  4. Step 4: Simplify right side
    1,580.56x = 2,209,868.75
  5. Step 5: Solve for x
    x = 2,209,868.75/1,580.56
  6. Step 6: Final answer
    x = 1,398.16

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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.