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Finding the Fourth Proportional to 8,364.78, 11,543.52 and 4,828.02

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Solution

The fourth proportional to 8,364.78, 11,543.52 and 4,828.02 is: 6,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.78 : 11,543.52 = 4,828.02 : x
  2. Step 2: Convert to fraction form
    8,364.78/11,543.52 = 4,828.02/x
  3. Step 3: Cross multiply
    8,364.78x = 11,543.52 × 4,828.02
  4. Step 4: Simplify right side
    8,364.78x = 55,732,345.43
  5. Step 5: Solve for x
    x = 55,732,345.43/8,364.78
  6. Step 6: Final answer
    x = 6,662.74

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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.