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Finding the Fourth Proportional to 9,647, 14,468.34 and 4,714.28

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Solution

The fourth proportional to 9,647, 14,468.34 and 4,714.28 is: 7,070.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647 : 14,468.34 = 4,714.28 : x
  2. Step 2: Convert to fraction form
    9,647/14,468.34 = 4,714.28/x
  3. Step 3: Cross multiply
    9,647x = 14,468.34 × 4,714.28
  4. Step 4: Simplify right side
    9,647x = 68,207,805.90
  5. Step 5: Solve for x
    x = 68,207,805.90/9,647
  6. Step 6: Final answer
    x = 7,070.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.