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Finding the Fourth Proportional to 2,070.06, 3,105.09 and 915.54

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Solution

The fourth proportional to 2,070.06, 3,105.09 and 915.54 is: 1,373.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.06 : 3,105.09 = 915.54 : x
  2. Step 2: Convert to fraction form
    2,070.06/3,105.09 = 915.54/x
  3. Step 3: Cross multiply
    2,070.06x = 3,105.09 × 915.54
  4. Step 4: Simplify right side
    2,070.06x = 2,842,834.10
  5. Step 5: Solve for x
    x = 2,842,834.10/2,070.06
  6. Step 6: Final answer
    x = 1,373.31

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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.