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Finding the Fourth Proportional to 2,011.90, 3,019.20 and 915.70

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Solution

The fourth proportional to 2,011.90, 3,019.20 and 915.70 is: 1,374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.90 : 3,019.20 = 915.70 : x
  2. Step 2: Convert to fraction form
    2,011.90/3,019.20 = 915.70/x
  3. Step 3: Cross multiply
    2,011.90x = 3,019.20 × 915.70
  4. Step 4: Simplify right side
    2,011.90x = 2,764,681.44
  5. Step 5: Solve for x
    x = 2,764,681.44/2,011.90
  6. Step 6: Final answer
    x = 1,374.16

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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.