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Finding the Fourth Proportional to 21,670.49, 32,515.17 and 7,640.68

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Solution

The fourth proportional to 21,670.49, 32,515.17 and 7,640.68 is: 11,464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,670.49 : 32,515.17 = 7,640.68 : x
  2. Step 2: Convert to fraction form
    21,670.49/32,515.17 = 7,640.68/x
  3. Step 3: Cross multiply
    21,670.49x = 32,515.17 × 7,640.68
  4. Step 4: Simplify right side
    21,670.49x = 248,438,003.12
  5. Step 5: Solve for x
    x = 248,438,003.12/21,670.49
  6. Step 6: Final answer
    x = 11,464.35

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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.