Home / 1,622.40-2,433.76-977.24

Finding the Fourth Proportional to 1,622.40, 2,433.76 and 977.24

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Solution

The fourth proportional to 1,622.40, 2,433.76 and 977.24 is: 1,465.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.40 : 2,433.76 = 977.24 : x
  2. Step 2: Convert to fraction form
    1,622.40/2,433.76 = 977.24/x
  3. Step 3: Cross multiply
    1,622.40x = 2,433.76 × 977.24
  4. Step 4: Simplify right side
    1,622.40x = 2,378,367.62
  5. Step 5: Solve for x
    x = 2,378,367.62/1,622.40
  6. Step 6: Final answer
    x = 1,465.96

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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.