Home / 1,409.20-2,114.12-587.32

Finding the Fourth Proportional to 1,409.20, 2,114.12 and 587.32

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Solution

The fourth proportional to 1,409.20, 2,114.12 and 587.32 is: 881.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.20 : 2,114.12 = 587.32 : x
  2. Step 2: Convert to fraction form
    1,409.20/2,114.12 = 587.32/x
  3. Step 3: Cross multiply
    1,409.20x = 2,114.12 × 587.32
  4. Step 4: Simplify right side
    1,409.20x = 1,241,664.96
  5. Step 5: Solve for x
    x = 1,241,664.96/1,409.20
  6. Step 6: Final answer
    x = 881.11

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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.