Home / 1,822.40-2,731.30-989.45

Finding the Fourth Proportional to 1,822.40, 2,731.30 and 989.45

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Solution

The fourth proportional to 1,822.40, 2,731.30 and 989.45 is: 1,482.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.40 : 2,731.30 = 989.45 : x
  2. Step 2: Convert to fraction form
    1,822.40/2,731.30 = 989.45/x
  3. Step 3: Cross multiply
    1,822.40x = 2,731.30 × 989.45
  4. Step 4: Simplify right side
    1,822.40x = 2,702,484.46
  5. Step 5: Solve for x
    x = 2,702,484.46/1,822.40
  6. Step 6: Final answer
    x = 1,482.93

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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.