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Finding the Fourth Proportional to 3,428.92, 4,731.86 and 1,857.01

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Solution

The fourth proportional to 3,428.92, 4,731.86 and 1,857.01 is: 2,562.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.92 : 4,731.86 = 1,857.01 : x
  2. Step 2: Convert to fraction form
    3,428.92/4,731.86 = 1,857.01/x
  3. Step 3: Cross multiply
    3,428.92x = 4,731.86 × 1,857.01
  4. Step 4: Simplify right side
    3,428.92x = 8,787,111.34
  5. Step 5: Solve for x
    x = 8,787,111.34/3,428.92
  6. Step 6: Final answer
    x = 2,562.65

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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.