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Finding the Fourth Proportional to 4,654.81, 6,978.10 and 1,731.07

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Solution

The fourth proportional to 4,654.81, 6,978.10 and 1,731.07 is: 2,595.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.81 : 6,978.10 = 1,731.07 : x
  2. Step 2: Convert to fraction form
    4,654.81/6,978.10 = 1,731.07/x
  3. Step 3: Cross multiply
    4,654.81x = 6,978.10 × 1,731.07
  4. Step 4: Simplify right side
    4,654.81x = 12,079,579.57
  5. Step 5: Solve for x
    x = 12,079,579.57/4,654.81
  6. Step 6: Final answer
    x = 2,595.07

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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.