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Finding the Fourth Proportional to 6,622.72, 9,885.44 and 6,142

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Solution

The fourth proportional to 6,622.72, 9,885.44 and 6,142 is: 9,167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,622.72 : 9,885.44 = 6,142 : x
  2. Step 2: Convert to fraction form
    6,622.72/9,885.44 = 6,142/x
  3. Step 3: Cross multiply
    6,622.72x = 9,885.44 × 6,142
  4. Step 4: Simplify right side
    6,622.72x = 60,716,372.48
  5. Step 5: Solve for x
    x = 60,716,372.48/6,622.72
  6. Step 6: Final answer
    x = 9,167.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.