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Finding the Fourth Proportional to 11,853.60, 17,780.28 and 4,831.97

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Solution

The fourth proportional to 11,853.60, 17,780.28 and 4,831.97 is: 7,247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.60 : 17,780.28 = 4,831.97 : x
  2. Step 2: Convert to fraction form
    11,853.60/17,780.28 = 4,831.97/x
  3. Step 3: Cross multiply
    11,853.60x = 17,780.28 × 4,831.97
  4. Step 4: Simplify right side
    11,853.60x = 85,913,779.55
  5. Step 5: Solve for x
    x = 85,913,779.55/11,853.60
  6. Step 6: Final answer
    x = 7,247.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.