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Finding the Fourth Proportional to 6,425, 9,637.50 and 4,205.70

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Solution

The fourth proportional to 6,425, 9,637.50 and 4,205.70 is: 6,308.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425 : 9,637.50 = 4,205.70 : x
  2. Step 2: Convert to fraction form
    6,425/9,637.50 = 4,205.70/x
  3. Step 3: Cross multiply
    6,425x = 9,637.50 × 4,205.70
  4. Step 4: Simplify right side
    6,425x = 40,532,433.75
  5. Step 5: Solve for x
    x = 40,532,433.75/6,425
  6. Step 6: Final answer
    x = 6,308.55

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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.