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Finding the Fourth Proportional to 6,341.70, 9,512.55 and 2,186.40

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Solution

The fourth proportional to 6,341.70, 9,512.55 and 2,186.40 is: 3,279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.70 : 9,512.55 = 2,186.40 : x
  2. Step 2: Convert to fraction form
    6,341.70/9,512.55 = 2,186.40/x
  3. Step 3: Cross multiply
    6,341.70x = 9,512.55 × 2,186.40
  4. Step 4: Simplify right side
    6,341.70x = 20,798,239.32
  5. Step 5: Solve for x
    x = 20,798,239.32/6,341.70
  6. Step 6: Final answer
    x = 3,279.60

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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.