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Finding the Fourth Proportional to 6,690.63, 9,232.65 and 3,857.86

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Solution

The fourth proportional to 6,690.63, 9,232.65 and 3,857.86 is: 5,323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.63 : 9,232.65 = 3,857.86 : x
  2. Step 2: Convert to fraction form
    6,690.63/9,232.65 = 3,857.86/x
  3. Step 3: Cross multiply
    6,690.63x = 9,232.65 × 3,857.86
  4. Step 4: Simplify right side
    6,690.63x = 35,618,271.13
  5. Step 5: Solve for x
    x = 35,618,271.13/6,690.63
  6. Step 6: Final answer
    x = 5,323.60

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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.