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Finding the Fourth Proportional to 4,218.90, 6,328.36 and 1,098.90

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Solution

The fourth proportional to 4,218.90, 6,328.36 and 1,098.90 is: 1,648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.90 : 6,328.36 = 1,098.90 : x
  2. Step 2: Convert to fraction form
    4,218.90/6,328.36 = 1,098.90/x
  3. Step 3: Cross multiply
    4,218.90x = 6,328.36 × 1,098.90
  4. Step 4: Simplify right side
    4,218.90x = 6,954,230.00
  5. Step 5: Solve for x
    x = 6,954,230.00/4,218.90
  6. Step 6: Final answer
    x = 1,648.35

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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.