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Finding the Fourth Proportional to 6,487.12, 9,730.08 and 2,788.68

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Solution

The fourth proportional to 6,487.12, 9,730.08 and 2,788.68 is: 4,182.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.12 : 9,730.08 = 2,788.68 : x
  2. Step 2: Convert to fraction form
    6,487.12/9,730.08 = 2,788.68/x
  3. Step 3: Cross multiply
    6,487.12x = 9,730.08 × 2,788.68
  4. Step 4: Simplify right side
    6,487.12x = 27,134,079.49
  5. Step 5: Solve for x
    x = 27,134,079.49/6,487.12
  6. Step 6: Final answer
    x = 4,182.76

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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.