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Finding the Fourth Proportional to 21,168, 31,750.99 and 5,373.47

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Solution

The fourth proportional to 21,168, 31,750.99 and 5,373.47 is: 8,059.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,168 : 31,750.99 = 5,373.47 : x
  2. Step 2: Convert to fraction form
    21,168/31,750.99 = 5,373.47/x
  3. Step 3: Cross multiply
    21,168x = 31,750.99 × 5,373.47
  4. Step 4: Simplify right side
    21,168x = 170,613,058.18
  5. Step 5: Solve for x
    x = 170,613,058.18/21,168
  6. Step 6: Final answer
    x = 8,059.95

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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.