Home / 1,419.10-2,127.42-840.76

Finding the Fourth Proportional to 1,419.10, 2,127.42 and 840.76

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Solution

The fourth proportional to 1,419.10, 2,127.42 and 840.76 is: 1,260.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.10 : 2,127.42 = 840.76 : x
  2. Step 2: Convert to fraction form
    1,419.10/2,127.42 = 840.76/x
  3. Step 3: Cross multiply
    1,419.10x = 2,127.42 × 840.76
  4. Step 4: Simplify right side
    1,419.10x = 1,788,649.64
  5. Step 5: Solve for x
    x = 1,788,649.64/1,419.10
  6. Step 6: Final answer
    x = 1,260.41

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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.