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Finding the Fourth Proportional to 6,857.01, 10,285.53 and 1,662.90

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Solution

The fourth proportional to 6,857.01, 10,285.53 and 1,662.90 is: 2,494.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.01 : 10,285.53 = 1,662.90 : x
  2. Step 2: Convert to fraction form
    6,857.01/10,285.53 = 1,662.90/x
  3. Step 3: Cross multiply
    6,857.01x = 10,285.53 × 1,662.90
  4. Step 4: Simplify right side
    6,857.01x = 17,103,807.84
  5. Step 5: Solve for x
    x = 17,103,807.84/6,857.01
  6. Step 6: Final answer
    x = 2,494.35

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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.