Home / 1,422.50-1,961.79-924.67

Finding the Fourth Proportional to 1,422.50, 1,961.79 and 924.67

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Solution

The fourth proportional to 1,422.50, 1,961.79 and 924.67 is: 1,275.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.50 : 1,961.79 = 924.67 : x
  2. Step 2: Convert to fraction form
    1,422.50/1,961.79 = 924.67/x
  3. Step 3: Cross multiply
    1,422.50x = 1,961.79 × 924.67
  4. Step 4: Simplify right side
    1,422.50x = 1,814,008.36
  5. Step 5: Solve for x
    x = 1,814,008.36/1,422.50
  6. Step 6: Final answer
    x = 1,275.23

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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.