Home / 1,420.64-2,129.18-1,109.24

Finding the Fourth Proportional to 1,420.64, 2,129.18 and 1,109.24

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Solution

The fourth proportional to 1,420.64, 2,129.18 and 1,109.24 is: 1,662.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.64 : 2,129.18 = 1,109.24 : x
  2. Step 2: Convert to fraction form
    1,420.64/2,129.18 = 1,109.24/x
  3. Step 3: Cross multiply
    1,420.64x = 2,129.18 × 1,109.24
  4. Step 4: Simplify right side
    1,420.64x = 2,361,760.98
  5. Step 5: Solve for x
    x = 2,361,760.98/1,420.64
  6. Step 6: Final answer
    x = 1,662.47

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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.