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Finding the Fourth Proportional to 5,356.71, 8,021.09 and 4,311.00

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Solution

The fourth proportional to 5,356.71, 8,021.09 and 4,311.00 is: 6,455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.71 : 8,021.09 = 4,311.00 : x
  2. Step 2: Convert to fraction form
    5,356.71/8,021.09 = 4,311.00/x
  3. Step 3: Cross multiply
    5,356.71x = 8,021.09 × 4,311.00
  4. Step 4: Simplify right side
    5,356.71x = 34,578,893.55
  5. Step 5: Solve for x
    x = 34,578,893.55/5,356.71
  6. Step 6: Final answer
    x = 6,455.25

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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.