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Finding the Fourth Proportional to 6,489.70, 8,954.16 and 3,656.50

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Solution

The fourth proportional to 6,489.70, 8,954.16 and 3,656.50 is: 5,045.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.70 : 8,954.16 = 3,656.50 : x
  2. Step 2: Convert to fraction form
    6,489.70/8,954.16 = 3,656.50/x
  3. Step 3: Cross multiply
    6,489.70x = 8,954.16 × 3,656.50
  4. Step 4: Simplify right side
    6,489.70x = 32,740,886.04
  5. Step 5: Solve for x
    x = 32,740,886.04/6,489.70
  6. Step 6: Final answer
    x = 5,045.05

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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.