Home / 2,309.12-3,465.63-923.43

Finding the Fourth Proportional to 2,309.12, 3,465.63 and 923.43

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Solution

The fourth proportional to 2,309.12, 3,465.63 and 923.43 is: 1,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.12 : 3,465.63 = 923.43 : x
  2. Step 2: Convert to fraction form
    2,309.12/3,465.63 = 923.43/x
  3. Step 3: Cross multiply
    2,309.12x = 3,465.63 × 923.43
  4. Step 4: Simplify right side
    2,309.12x = 3,200,266.71
  5. Step 5: Solve for x
    x = 3,200,266.71/2,309.12
  6. Step 6: Final answer
    x = 1,385.93

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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.