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Finding the Fourth Proportional to 15,097.25, 20,831.04 and 9,127.76

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Solution

The fourth proportional to 15,097.25, 20,831.04 and 9,127.76 is: 12,594.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.25 : 20,831.04 = 9,127.76 : x
  2. Step 2: Convert to fraction form
    15,097.25/20,831.04 = 9,127.76/x
  3. Step 3: Cross multiply
    15,097.25x = 20,831.04 × 9,127.76
  4. Step 4: Simplify right side
    15,097.25x = 190,140,629.52
  5. Step 5: Solve for x
    x = 190,140,629.52/15,097.25
  6. Step 6: Final answer
    x = 12,594.39

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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.