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Finding the Fourth Proportional to 2,669.92, 4,004.80 and 938.40

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Solution

The fourth proportional to 2,669.92, 4,004.80 and 938.40 is: 1,407.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.92 : 4,004.80 = 938.40 : x
  2. Step 2: Convert to fraction form
    2,669.92/4,004.80 = 938.40/x
  3. Step 3: Cross multiply
    2,669.92x = 4,004.80 × 938.40
  4. Step 4: Simplify right side
    2,669.92x = 3,758,104.32
  5. Step 5: Solve for x
    x = 3,758,104.32/2,669.92
  6. Step 6: Final answer
    x = 1,407.57

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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.