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Finding the Fourth Proportional to 65,007.64, 97,515.08 and 20,638

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Solution

The fourth proportional to 65,007.64, 97,515.08 and 20,638 is: 30,958.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,007.64 : 97,515.08 = 20,638 : x
  2. Step 2: Convert to fraction form
    65,007.64/97,515.08 = 20,638/x
  3. Step 3: Cross multiply
    65,007.64x = 97,515.08 × 20,638
  4. Step 4: Simplify right side
    65,007.64x = 2,012,516,221.04
  5. Step 5: Solve for x
    x = 2,012,516,221.04/65,007.64
  6. Step 6: Final answer
    x = 30,958.15

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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.