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Finding the Fourth Proportional to 6,638.31, 9,971.94 and 6,416.88

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Solution

The fourth proportional to 6,638.31, 9,971.94 and 6,416.88 is: 9,639.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.31 : 9,971.94 = 6,416.88 : x
  2. Step 2: Convert to fraction form
    6,638.31/9,971.94 = 6,416.88/x
  3. Step 3: Cross multiply
    6,638.31x = 9,971.94 × 6,416.88
  4. Step 4: Simplify right side
    6,638.31x = 63,988,742.35
  5. Step 5: Solve for x
    x = 63,988,742.35/6,638.31
  6. Step 6: Final answer
    x = 9,639.31

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1.5x scale

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.