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Finding the Fourth Proportional to 6,784.78, 9,362.49 and 4,131.76

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Solution

The fourth proportional to 6,784.78, 9,362.49 and 4,131.76 is: 5,701.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.78 : 9,362.49 = 4,131.76 : x
  2. Step 2: Convert to fraction form
    6,784.78/9,362.49 = 4,131.76/x
  3. Step 3: Cross multiply
    6,784.78x = 9,362.49 × 4,131.76
  4. Step 4: Simplify right side
    6,784.78x = 38,683,561.68
  5. Step 5: Solve for x
    x = 38,683,561.68/6,784.78
  6. Step 6: Final answer
    x = 5,701.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.