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Finding the Fourth Proportional to 2,679.90, 4,020.23 and 924.43

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Solution

The fourth proportional to 2,679.90, 4,020.23 and 924.43 is: 1,386.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.90 : 4,020.23 = 924.43 : x
  2. Step 2: Convert to fraction form
    2,679.90/4,020.23 = 924.43/x
  3. Step 3: Cross multiply
    2,679.90x = 4,020.23 × 924.43
  4. Step 4: Simplify right side
    2,679.90x = 3,716,421.22
  5. Step 5: Solve for x
    x = 3,716,421.22/2,679.90
  6. Step 6: Final answer
    x = 1,386.78

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1.5x scale

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.