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Finding the Fourth Proportional to 15,313.50, 21,132.63 and 8,689.50

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Solution

The fourth proportional to 15,313.50, 21,132.63 and 8,689.50 is: 11,991.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,313.50 : 21,132.63 = 8,689.50 : x
  2. Step 2: Convert to fraction form
    15,313.50/21,132.63 = 8,689.50/x
  3. Step 3: Cross multiply
    15,313.50x = 21,132.63 × 8,689.50
  4. Step 4: Simplify right side
    15,313.50x = 183,631,988.39
  5. Step 5: Solve for x
    x = 183,631,988.39/15,313.50
  6. Step 6: Final answer
    x = 11,991.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.