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Finding the Fourth Proportional to 6,499.76, 9,748.35 and 2,988.81

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Solution

The fourth proportional to 6,499.76, 9,748.35 and 2,988.81 is: 4,482.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.76 : 9,748.35 = 2,988.81 : x
  2. Step 2: Convert to fraction form
    6,499.76/9,748.35 = 2,988.81/x
  3. Step 3: Cross multiply
    6,499.76x = 9,748.35 × 2,988.81
  4. Step 4: Simplify right side
    6,499.76x = 29,135,965.96
  5. Step 5: Solve for x
    x = 29,135,965.96/6,499.76
  6. Step 6: Final answer
    x = 4,482.63

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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.