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Finding the Fourth Proportional to 15,146.19, 20,905.19 and 9,831.78

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Solution

The fourth proportional to 15,146.19, 20,905.19 and 9,831.78 is: 13,570.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,146.19 : 20,905.19 = 9,831.78 : x
  2. Step 2: Convert to fraction form
    15,146.19/20,905.19 = 9,831.78/x
  3. Step 3: Cross multiply
    15,146.19x = 20,905.19 × 9,831.78
  4. Step 4: Simplify right side
    15,146.19x = 205,535,216.65
  5. Step 5: Solve for x
    x = 205,535,216.65/15,146.19
  6. Step 6: Final answer
    x = 13,570.09

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Similar ratio
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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.