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Finding the Fourth Proportional to 6,189.78, 8,494.53 and 6,146.04

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Solution

The fourth proportional to 6,189.78, 8,494.53 and 6,146.04 is: 8,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.78 : 8,494.53 = 6,146.04 : x
  2. Step 2: Convert to fraction form
    6,189.78/8,494.53 = 6,146.04/x
  3. Step 3: Cross multiply
    6,189.78x = 8,494.53 × 6,146.04
  4. Step 4: Simplify right side
    6,189.78x = 52,207,721.16
  5. Step 5: Solve for x
    x = 52,207,721.16/6,189.78
  6. Step 6: Final answer
    x = 8,434.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.