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Finding the Fourth Proportional to 21,364.16, 32,020.86 and 8,881.52

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Solution

The fourth proportional to 21,364.16, 32,020.86 and 8,881.52 is: 13,311.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,364.16 : 32,020.86 = 8,881.52 : x
  2. Step 2: Convert to fraction form
    21,364.16/32,020.86 = 8,881.52/x
  3. Step 3: Cross multiply
    21,364.16x = 32,020.86 × 8,881.52
  4. Step 4: Simplify right side
    21,364.16x = 284,393,908.51
  5. Step 5: Solve for x
    x = 284,393,908.51/21,364.16
  6. Step 6: Final answer
    x = 13,311.73

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Why These Related Problems?

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