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Finding the Fourth Proportional to 15,583.10, 21,504.74 and 8,509.50

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Solution

The fourth proportional to 15,583.10, 21,504.74 and 8,509.50 is: 11,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,583.10 : 21,504.74 = 8,509.50 : x
  2. Step 2: Convert to fraction form
    15,583.10/21,504.74 = 8,509.50/x
  3. Step 3: Cross multiply
    15,583.10x = 21,504.74 × 8,509.50
  4. Step 4: Simplify right side
    15,583.10x = 182,994,542.48
  5. Step 5: Solve for x
    x = 182,994,542.48/15,583.10
  6. Step 6: Final answer
    x = 11,743.14

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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.