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Finding the Fourth Proportional to 15,831.59, 21,843.86 and 9,456.93

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Solution

The fourth proportional to 15,831.59, 21,843.86 and 9,456.93 is: 13,048.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,831.59 : 21,843.86 = 9,456.93 : x
  2. Step 2: Convert to fraction form
    15,831.59/21,843.86 = 9,456.93/x
  3. Step 3: Cross multiply
    15,831.59x = 21,843.86 × 9,456.93
  4. Step 4: Simplify right side
    15,831.59x = 206,575,807.67
  5. Step 5: Solve for x
    x = 206,575,807.67/15,831.59
  6. Step 6: Final answer
    x = 13,048.33

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1.5x scale

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.