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Finding the Fourth Proportional to 5,510.88, 8,266.32 and 1,406.88

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Solution

The fourth proportional to 5,510.88, 8,266.32 and 1,406.88 is: 2,110.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510.88 : 8,266.32 = 1,406.88 : x
  2. Step 2: Convert to fraction form
    5,510.88/8,266.32 = 1,406.88/x
  3. Step 3: Cross multiply
    5,510.88x = 8,266.32 × 1,406.88
  4. Step 4: Simplify right side
    5,510.88x = 11,629,671.92
  5. Step 5: Solve for x
    x = 11,629,671.92/5,510.88
  6. Step 6: Final answer
    x = 2,110.31

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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.