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Finding the Fourth Proportional to 1,675.24, 2,311.81 and 929.24

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Solution

The fourth proportional to 1,675.24, 2,311.81 and 929.24 is: 1,282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.24 : 2,311.81 = 929.24 : x
  2. Step 2: Convert to fraction form
    1,675.24/2,311.81 = 929.24/x
  3. Step 3: Cross multiply
    1,675.24x = 2,311.81 × 929.24
  4. Step 4: Simplify right side
    1,675.24x = 2,148,221.68
  5. Step 5: Solve for x
    x = 2,148,221.68/1,675.24
  6. Step 6: Final answer
    x = 1,282.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.