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Finding the Fourth Proportional to 2,010.90, 3,014.73 and 915.78

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Solution

The fourth proportional to 2,010.90, 3,014.73 and 915.78 is: 1,372.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.90 : 3,014.73 = 915.78 : x
  2. Step 2: Convert to fraction form
    2,010.90/3,014.73 = 915.78/x
  3. Step 3: Cross multiply
    2,010.90x = 3,014.73 × 915.78
  4. Step 4: Simplify right side
    2,010.90x = 2,760,829.44
  5. Step 5: Solve for x
    x = 2,760,829.44/2,010.90
  6. Step 6: Final answer
    x = 1,372.93

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1.5x scale

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.