Home / 1,437.39-2,157.09-821.58

Finding the Fourth Proportional to 1,437.39, 2,157.09 and 821.58

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Solution

The fourth proportional to 1,437.39, 2,157.09 and 821.58 is: 1,232.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.39 : 2,157.09 = 821.58 : x
  2. Step 2: Convert to fraction form
    1,437.39/2,157.09 = 821.58/x
  3. Step 3: Cross multiply
    1,437.39x = 2,157.09 × 821.58
  4. Step 4: Simplify right side
    1,437.39x = 1,772,222.00
  5. Step 5: Solve for x
    x = 1,772,222.00/1,437.39
  6. Step 6: Final answer
    x = 1,232.94

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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.