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Finding the Fourth Proportional to 6,471.71, 8,931.24 and 3,784.71

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Solution

The fourth proportional to 6,471.71, 8,931.24 and 3,784.71 is: 5,223.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.71 : 8,931.24 = 3,784.71 : x
  2. Step 2: Convert to fraction form
    6,471.71/8,931.24 = 3,784.71/x
  3. Step 3: Cross multiply
    6,471.71x = 8,931.24 × 3,784.71
  4. Step 4: Simplify right side
    6,471.71x = 33,802,153.34
  5. Step 5: Solve for x
    x = 33,802,153.34/6,471.71
  6. Step 6: Final answer
    x = 5,223.07

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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.