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Finding the Fourth Proportional to 8,697.60, 12,003.84 and 5,904

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Solution

The fourth proportional to 8,697.60, 12,003.84 and 5,904 is: 8,148.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.60 : 12,003.84 = 5,904 : x
  2. Step 2: Convert to fraction form
    8,697.60/12,003.84 = 5,904/x
  3. Step 3: Cross multiply
    8,697.60x = 12,003.84 × 5,904
  4. Step 4: Simplify right side
    8,697.60x = 70,870,671.36
  5. Step 5: Solve for x
    x = 70,870,671.36/8,697.60
  6. Step 6: Final answer
    x = 8,148.30

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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.