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Finding the Fourth Proportional to 8,642.10, 11,925.81 and 4,865.34

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Solution

The fourth proportional to 8,642.10, 11,925.81 and 4,865.34 is: 6,714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.10 : 11,925.81 = 4,865.34 : x
  2. Step 2: Convert to fraction form
    8,642.10/11,925.81 = 4,865.34/x
  3. Step 3: Cross multiply
    8,642.10x = 11,925.81 × 4,865.34
  4. Step 4: Simplify right side
    8,642.10x = 58,023,120.43
  5. Step 5: Solve for x
    x = 58,023,120.43/8,642.10
  6. Step 6: Final answer
    x = 6,714.01

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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.