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Finding the Fourth Proportional to 10,945.40, 15,094.40 and 8,714.64

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Solution

The fourth proportional to 10,945.40, 15,094.40 and 8,714.64 is: 12,018.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,945.40 : 15,094.40 = 8,714.64 : x
  2. Step 2: Convert to fraction form
    10,945.40/15,094.40 = 8,714.64/x
  3. Step 3: Cross multiply
    10,945.40x = 15,094.40 × 8,714.64
  4. Step 4: Simplify right side
    10,945.40x = 131,542,262.02
  5. Step 5: Solve for x
    x = 131,542,262.02/10,945.40
  6. Step 6: Final answer
    x = 12,018.04

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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.