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Finding the Fourth Proportional to 6,177.78, 9,300.20 and 5,642.10

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Solution

The fourth proportional to 6,177.78, 9,300.20 and 5,642.10 is: 8,493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.78 : 9,300.20 = 5,642.10 : x
  2. Step 2: Convert to fraction form
    6,177.78/9,300.20 = 5,642.10/x
  3. Step 3: Cross multiply
    6,177.78x = 9,300.20 × 5,642.10
  4. Step 4: Simplify right side
    6,177.78x = 52,472,630.21
  5. Step 5: Solve for x
    x = 52,472,630.21/6,177.78
  6. Step 6: Final answer
    x = 8,493.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.