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Finding the Fourth Proportional to 6,783.42, 10,175.03 and 6,615.90

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Solution

The fourth proportional to 6,783.42, 10,175.03 and 6,615.90 is: 9,923.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.42 : 10,175.03 = 6,615.90 : x
  2. Step 2: Convert to fraction form
    6,783.42/10,175.03 = 6,615.90/x
  3. Step 3: Cross multiply
    6,783.42x = 10,175.03 × 6,615.90
  4. Step 4: Simplify right side
    6,783.42x = 67,316,972.71
  5. Step 5: Solve for x
    x = 67,316,972.71/6,783.42
  6. Step 6: Final answer
    x = 9,923.76

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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.