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Finding the Fourth Proportional to 21,297.72, 31,924.98 and 10,188.12

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Solution

The fourth proportional to 21,297.72, 31,924.98 and 10,188.12 is: 15,271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,297.72 : 31,924.98 = 10,188.12 : x
  2. Step 2: Convert to fraction form
    21,297.72/31,924.98 = 10,188.12/x
  3. Step 3: Cross multiply
    21,297.72x = 31,924.98 × 10,188.12
  4. Step 4: Simplify right side
    21,297.72x = 325,255,527.24
  5. Step 5: Solve for x
    x = 325,255,527.24/21,297.72
  6. Step 6: Final answer
    x = 15,271.85

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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.