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Finding the Fourth Proportional to 15,095.78, 20,831.16 and 8,381.08

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Solution

The fourth proportional to 15,095.78, 20,831.16 and 8,381.08 is: 11,565.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,095.78 : 20,831.16 = 8,381.08 : x
  2. Step 2: Convert to fraction form
    15,095.78/20,831.16 = 8,381.08/x
  3. Step 3: Cross multiply
    15,095.78x = 20,831.16 × 8,381.08
  4. Step 4: Simplify right side
    15,095.78x = 174,587,618.45
  5. Step 5: Solve for x
    x = 174,587,618.45/15,095.78
  6. Step 6: Final answer
    x = 11,565.33

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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.