Home / 1,540.37-2,311.50-924.23

Finding the Fourth Proportional to 1,540.37, 2,311.50 and 924.23

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Solution

The fourth proportional to 1,540.37, 2,311.50 and 924.23 is: 1,386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.37 : 2,311.50 = 924.23 : x
  2. Step 2: Convert to fraction form
    1,540.37/2,311.50 = 924.23/x
  3. Step 3: Cross multiply
    1,540.37x = 2,311.50 × 924.23
  4. Step 4: Simplify right side
    1,540.37x = 2,136,346.09
  5. Step 5: Solve for x
    x = 2,136,346.09/1,540.37
  6. Step 6: Final answer
    x = 1,386.91

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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.