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Finding the Fourth Proportional to 9,906, 13,670.90 and 5,714.25

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Solution

The fourth proportional to 9,906, 13,670.90 and 5,714.25 is: 7,886.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906 : 13,670.90 = 5,714.25 : x
  2. Step 2: Convert to fraction form
    9,906/13,670.90 = 5,714.25/x
  3. Step 3: Cross multiply
    9,906x = 13,670.90 × 5,714.25
  4. Step 4: Simplify right side
    9,906x = 78,118,911.75
  5. Step 5: Solve for x
    x = 78,118,911.75/9,906
  6. Step 6: Final answer
    x = 7,886.02

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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.