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Finding the Fourth Proportional to 15,107.16, 20,837.64 and 9,128.52

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Solution

The fourth proportional to 15,107.16, 20,837.64 and 9,128.52 is: 12,591.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,107.16 : 20,837.64 = 9,128.52 : x
  2. Step 2: Convert to fraction form
    15,107.16/20,837.64 = 9,128.52/x
  3. Step 3: Cross multiply
    15,107.16x = 20,837.64 × 9,128.52
  4. Step 4: Simplify right side
    15,107.16x = 190,216,813.49
  5. Step 5: Solve for x
    x = 190,216,813.49/15,107.16
  6. Step 6: Final answer
    x = 12,591.17

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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.