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Finding the Fourth Proportional to 31,524.60, 47,288.52 and 8,151.24

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Solution

The fourth proportional to 31,524.60, 47,288.52 and 8,151.24 is: 12,227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,524.60 : 47,288.52 = 8,151.24 : x
  2. Step 2: Convert to fraction form
    31,524.60/47,288.52 = 8,151.24/x
  3. Step 3: Cross multiply
    31,524.60x = 47,288.52 × 8,151.24
  4. Step 4: Simplify right side
    31,524.60x = 385,460,075.76
  5. Step 5: Solve for x
    x = 385,460,075.76/31,524.60
  6. Step 6: Final answer
    x = 12,227.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.