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Finding the Fourth Proportional to 22,752.66, 31,398.72 and 13,194.40

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Solution

The fourth proportional to 22,752.66, 31,398.72 and 13,194.40 is: 18,208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,752.66 : 31,398.72 = 13,194.40 : x
  2. Step 2: Convert to fraction form
    22,752.66/31,398.72 = 13,194.40/x
  3. Step 3: Cross multiply
    22,752.66x = 31,398.72 × 13,194.40
  4. Step 4: Simplify right side
    22,752.66x = 414,287,271.17
  5. Step 5: Solve for x
    x = 414,287,271.17/22,752.66
  6. Step 6: Final answer
    x = 18,208.30

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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.