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Finding the Fourth Proportional to 11,114.64, 16,653.50 and 7,820.82

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Solution

The fourth proportional to 11,114.64, 16,653.50 and 7,820.82 is: 11,718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,114.64 : 16,653.50 = 7,820.82 : x
  2. Step 2: Convert to fraction form
    11,114.64/16,653.50 = 7,820.82/x
  3. Step 3: Cross multiply
    11,114.64x = 16,653.50 × 7,820.82
  4. Step 4: Simplify right side
    11,114.64x = 130,244,025.87
  5. Step 5: Solve for x
    x = 130,244,025.87/11,114.64
  6. Step 6: Final answer
    x = 11,718.24

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1.5x scale

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.