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Finding the Fourth Proportional to 15,878.64, 23,818.86 and 4,786.86

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Solution

The fourth proportional to 15,878.64, 23,818.86 and 4,786.86 is: 7,180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878.64 : 23,818.86 = 4,786.86 : x
  2. Step 2: Convert to fraction form
    15,878.64/23,818.86 = 4,786.86/x
  3. Step 3: Cross multiply
    15,878.64x = 23,818.86 × 4,786.86
  4. Step 4: Simplify right side
    15,878.64x = 114,017,548.18
  5. Step 5: Solve for x
    x = 114,017,548.18/15,878.64
  6. Step 6: Final answer
    x = 7,180.56

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Why These Related Problems?

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