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Finding the Fourth Proportional to 4,651.34, 6,978.03 and 1,531.22

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Solution

The fourth proportional to 4,651.34, 6,978.03 and 1,531.22 is: 2,297.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.34 : 6,978.03 = 1,531.22 : x
  2. Step 2: Convert to fraction form
    4,651.34/6,978.03 = 1,531.22/x
  3. Step 3: Cross multiply
    4,651.34x = 6,978.03 × 1,531.22
  4. Step 4: Simplify right side
    4,651.34x = 10,684,864.21
  5. Step 5: Solve for x
    x = 10,684,864.21/4,651.34
  6. Step 6: Final answer
    x = 2,297.16

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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.