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Finding the Fourth Proportional to 5,148.66, 7,722.16 and 1,638.21

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Solution

The fourth proportional to 5,148.66, 7,722.16 and 1,638.21 is: 2,457.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.66 : 7,722.16 = 1,638.21 : x
  2. Step 2: Convert to fraction form
    5,148.66/7,722.16 = 1,638.21/x
  3. Step 3: Cross multiply
    5,148.66x = 7,722.16 × 1,638.21
  4. Step 4: Simplify right side
    5,148.66x = 12,650,519.73
  5. Step 5: Solve for x
    x = 12,650,519.73/5,148.66
  6. Step 6: Final answer
    x = 2,457.05

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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.