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Finding the Fourth Proportional to 8,694, 12,007.44 and 5,894.64

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Solution

The fourth proportional to 8,694, 12,007.44 and 5,894.64 is: 8,141.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694 : 12,007.44 = 5,894.64 : x
  2. Step 2: Convert to fraction form
    8,694/12,007.44 = 5,894.64/x
  3. Step 3: Cross multiply
    8,694x = 12,007.44 × 5,894.64
  4. Step 4: Simplify right side
    8,694x = 70,779,536.12
  5. Step 5: Solve for x
    x = 70,779,536.12/8,694
  6. Step 6: Final answer
    x = 8,141.19

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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.