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Finding the Fourth Proportional to 4,861.22, 7,292.90 and 1,398.20

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Solution

The fourth proportional to 4,861.22, 7,292.90 and 1,398.20 is: 2,097.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.22 : 7,292.90 = 1,398.20 : x
  2. Step 2: Convert to fraction form
    4,861.22/7,292.90 = 1,398.20/x
  3. Step 3: Cross multiply
    4,861.22x = 7,292.90 × 1,398.20
  4. Step 4: Simplify right side
    4,861.22x = 10,196,889.32
  5. Step 5: Solve for x
    x = 10,196,889.32/4,861.22
  6. Step 6: Final answer
    x = 2,097.60

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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.