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Finding the Fourth Proportional to 3,873.57, 5,808.90 and 1,407.78

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Solution

The fourth proportional to 3,873.57, 5,808.90 and 1,407.78 is: 2,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.57 : 5,808.90 = 1,407.78 : x
  2. Step 2: Convert to fraction form
    3,873.57/5,808.90 = 1,407.78/x
  3. Step 3: Cross multiply
    3,873.57x = 5,808.90 × 1,407.78
  4. Step 4: Simplify right side
    3,873.57x = 8,177,653.24
  5. Step 5: Solve for x
    x = 8,177,653.24/3,873.57
  6. Step 6: Final answer
    x = 2,111.14

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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.