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Finding the Fourth Proportional to 11,405.64, 17,108.10 and 2,857.08

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Solution

The fourth proportional to 11,405.64, 17,108.10 and 2,857.08 is: 4,285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.64 : 17,108.10 = 2,857.08 : x
  2. Step 2: Convert to fraction form
    11,405.64/17,108.10 = 2,857.08/x
  3. Step 3: Cross multiply
    11,405.64x = 17,108.10 × 2,857.08
  4. Step 4: Simplify right side
    11,405.64x = 48,879,210.35
  5. Step 5: Solve for x
    x = 48,879,210.35/11,405.64
  6. Step 6: Final answer
    x = 4,285.53

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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.