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Finding the Fourth Proportional to 22,023.66, 30,384 and 12,587.16

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Solution

The fourth proportional to 22,023.66, 30,384 and 12,587.16 is: 17,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,023.66 : 30,384 = 12,587.16 : x
  2. Step 2: Convert to fraction form
    22,023.66/30,384 = 12,587.16/x
  3. Step 3: Cross multiply
    22,023.66x = 30,384 × 12,587.16
  4. Step 4: Simplify right side
    22,023.66x = 382,448,269.44
  5. Step 5: Solve for x
    x = 382,448,269.44/22,023.66
  6. Step 6: Final answer
    x = 17,365.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.