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Finding the Fourth Proportional to 23,182.53, 31,991.90 and 12,572.12

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Solution

The fourth proportional to 23,182.53, 31,991.90 and 12,572.12 is: 17,349.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,182.53 : 31,991.90 = 12,572.12 : x
  2. Step 2: Convert to fraction form
    23,182.53/31,991.90 = 12,572.12/x
  3. Step 3: Cross multiply
    23,182.53x = 31,991.90 × 12,572.12
  4. Step 4: Simplify right side
    23,182.53x = 402,205,783.01
  5. Step 5: Solve for x
    x = 402,205,783.01/23,182.53
  6. Step 6: Final answer
    x = 17,349.52

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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.