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Finding the Fourth Proportional to 8,984, 12,398.16 and 5,005.28

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Solution

The fourth proportional to 8,984, 12,398.16 and 5,005.28 is: 6,907.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984 : 12,398.16 = 5,005.28 : x
  2. Step 2: Convert to fraction form
    8,984/12,398.16 = 5,005.28/x
  3. Step 3: Cross multiply
    8,984x = 12,398.16 × 5,005.28
  4. Step 4: Simplify right side
    8,984x = 62,056,262.28
  5. Step 5: Solve for x
    x = 62,056,262.28/8,984
  6. Step 6: Final answer
    x = 6,907.42

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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.