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Finding the Fourth Proportional to 6,266.76, 8,642.88 and 6,189

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Solution

The fourth proportional to 6,266.76, 8,642.88 and 6,189 is: 8,535.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.76 : 8,642.88 = 6,189 : x
  2. Step 2: Convert to fraction form
    6,266.76/8,642.88 = 6,189/x
  3. Step 3: Cross multiply
    6,266.76x = 8,642.88 × 6,189
  4. Step 4: Simplify right side
    6,266.76x = 53,490,784.32
  5. Step 5: Solve for x
    x = 53,490,784.32/6,266.76
  6. Step 6: Final answer
    x = 8,535.64

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Double scale
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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.