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Finding the Fourth Proportional to 10,635.63, 15,989.49 and 8,570.13

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Solution

The fourth proportional to 10,635.63, 15,989.49 and 8,570.13 is: 12,884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.63 : 15,989.49 = 8,570.13 : x
  2. Step 2: Convert to fraction form
    10,635.63/15,989.49 = 8,570.13/x
  3. Step 3: Cross multiply
    10,635.63x = 15,989.49 × 8,570.13
  4. Step 4: Simplify right side
    10,635.63x = 137,032,007.93
  5. Step 5: Solve for x
    x = 137,032,007.93/10,635.63
  6. Step 6: Final answer
    x = 12,884.24

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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.