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Finding the Fourth Proportional to 1,409.78, 2,103.13 and 1,180.10

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Solution

The fourth proportional to 1,409.78, 2,103.13 and 1,180.10 is: 1,760.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.78 : 2,103.13 = 1,180.10 : x
  2. Step 2: Convert to fraction form
    1,409.78/2,103.13 = 1,180.10/x
  3. Step 3: Cross multiply
    1,409.78x = 2,103.13 × 1,180.10
  4. Step 4: Simplify right side
    1,409.78x = 2,481,903.71
  5. Step 5: Solve for x
    x = 2,481,903.71/1,409.78
  6. Step 6: Final answer
    x = 1,760.49

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.