Home / 1,437.32-2,154.21-821.31

Finding the Fourth Proportional to 1,437.32, 2,154.21 and 821.31

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Solution

The fourth proportional to 1,437.32, 2,154.21 and 821.31 is: 1,230.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.32 : 2,154.21 = 821.31 : x
  2. Step 2: Convert to fraction form
    1,437.32/2,154.21 = 821.31/x
  3. Step 3: Cross multiply
    1,437.32x = 2,154.21 × 821.31
  4. Step 4: Simplify right side
    1,437.32x = 1,769,274.22
  5. Step 5: Solve for x
    x = 1,769,274.22/1,437.32
  6. Step 6: Final answer
    x = 1,230.96

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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.