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Finding the Fourth Proportional to 2,541.58, 3,810.57 and 980.26

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Solution

The fourth proportional to 2,541.58, 3,810.57 and 980.26 is: 1,469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.58 : 3,810.57 = 980.26 : x
  2. Step 2: Convert to fraction form
    2,541.58/3,810.57 = 980.26/x
  3. Step 3: Cross multiply
    2,541.58x = 3,810.57 × 980.26
  4. Step 4: Simplify right side
    2,541.58x = 3,735,349.35
  5. Step 5: Solve for x
    x = 3,735,349.35/2,541.58
  6. Step 6: Final answer
    x = 1,469.70

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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.