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Finding the Fourth Proportional to 6,507.64, 8,978.22 and 3,988.84

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Solution

The fourth proportional to 6,507.64, 8,978.22 and 3,988.84 is: 5,503.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.64 : 8,978.22 = 3,988.84 : x
  2. Step 2: Convert to fraction form
    6,507.64/8,978.22 = 3,988.84/x
  3. Step 3: Cross multiply
    6,507.64x = 8,978.22 × 3,988.84
  4. Step 4: Simplify right side
    6,507.64x = 35,812,683.06
  5. Step 5: Solve for x
    x = 35,812,683.06/6,507.64
  6. Step 6: Final answer
    x = 5,503.18

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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.