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Finding the Fourth Proportional to 2,807.46, 4,209.54 and 1,246.72

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Solution

The fourth proportional to 2,807.46, 4,209.54 and 1,246.72 is: 1,869.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.46 : 4,209.54 = 1,246.72 : x
  2. Step 2: Convert to fraction form
    2,807.46/4,209.54 = 1,246.72/x
  3. Step 3: Cross multiply
    2,807.46x = 4,209.54 × 1,246.72
  4. Step 4: Simplify right side
    2,807.46x = 5,248,090.43
  5. Step 5: Solve for x
    x = 5,248,090.43/2,807.46
  6. Step 6: Final answer
    x = 1,869.34

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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.