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Finding the Fourth Proportional to 15,876.64, 23,815.86 and 4,784.86

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Solution

The fourth proportional to 15,876.64, 23,815.86 and 4,784.86 is: 7,177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876.64 : 23,815.86 = 4,784.86 : x
  2. Step 2: Convert to fraction form
    15,876.64/23,815.86 = 4,784.86/x
  3. Step 3: Cross multiply
    15,876.64x = 23,815.86 × 4,784.86
  4. Step 4: Simplify right side
    15,876.64x = 113,955,555.88
  5. Step 5: Solve for x
    x = 113,955,555.88/15,876.64
  6. Step 6: Final answer
    x = 7,177.56

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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.