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Finding the Fourth Proportional to 21,153.69, 31,730.81 and 8,002.53

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Solution

The fourth proportional to 21,153.69, 31,730.81 and 8,002.53 is: 12,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,153.69 : 31,730.81 = 8,002.53 : x
  2. Step 2: Convert to fraction form
    21,153.69/31,730.81 = 8,002.53/x
  3. Step 3: Cross multiply
    21,153.69x = 31,730.81 × 8,002.53
  4. Step 4: Simplify right side
    21,153.69x = 253,926,718.94
  5. Step 5: Solve for x
    x = 253,926,718.94/21,153.69
  6. Step 6: Final answer
    x = 12,003.90

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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.