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Finding the Fourth Proportional to 5,626.90, 8,431.10 and 1,927.11

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Solution

The fourth proportional to 5,626.90, 8,431.10 and 1,927.11 is: 2,887.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.90 : 8,431.10 = 1,927.11 : x
  2. Step 2: Convert to fraction form
    5,626.90/8,431.10 = 1,927.11/x
  3. Step 3: Cross multiply
    5,626.90x = 8,431.10 × 1,927.11
  4. Step 4: Simplify right side
    5,626.90x = 16,247,649.74
  5. Step 5: Solve for x
    x = 16,247,649.74/5,626.90
  6. Step 6: Final answer
    x = 2,887.50

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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.