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Finding the Fourth Proportional to 2,990.68, 4,478.70 and 2,467.48

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Solution

The fourth proportional to 2,990.68, 4,478.70 and 2,467.48 is: 3,695.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.68 : 4,478.70 = 2,467.48 : x
  2. Step 2: Convert to fraction form
    2,990.68/4,478.70 = 2,467.48/x
  3. Step 3: Cross multiply
    2,990.68x = 4,478.70 × 2,467.48
  4. Step 4: Simplify right side
    2,990.68x = 11,051,102.68
  5. Step 5: Solve for x
    x = 11,051,102.68/2,990.68
  6. Step 6: Final answer
    x = 3,695.18

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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.