Home / 1,440-2,161.44-1,051.20

Finding the Fourth Proportional to 1,440, 2,161.44 and 1,051.20

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Solution

The fourth proportional to 1,440, 2,161.44 and 1,051.20 is: 1,577.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440 : 2,161.44 = 1,051.20 : x
  2. Step 2: Convert to fraction form
    1,440/2,161.44 = 1,051.20/x
  3. Step 3: Cross multiply
    1,440x = 2,161.44 × 1,051.20
  4. Step 4: Simplify right side
    1,440x = 2,272,105.73
  5. Step 5: Solve for x
    x = 2,272,105.73/1,440
  6. Step 6: Final answer
    x = 1,577.85

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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.