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Finding the Fourth Proportional to 12,117.96, 16,714.62 and 7,647.44

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Solution

The fourth proportional to 12,117.96, 16,714.62 and 7,647.44 is: 10,548.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,117.96 : 16,714.62 = 7,647.44 : x
  2. Step 2: Convert to fraction form
    12,117.96/16,714.62 = 7,647.44/x
  3. Step 3: Cross multiply
    12,117.96x = 16,714.62 × 7,647.44
  4. Step 4: Simplify right side
    12,117.96x = 127,823,970.00
  5. Step 5: Solve for x
    x = 127,823,970.00/12,117.96
  6. Step 6: Final answer
    x = 10,548.31

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1.5x scale

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.