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Finding the Fourth Proportional to 6,180.84, 8,543.57 and 5,690.39

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Solution

The fourth proportional to 6,180.84, 8,543.57 and 5,690.39 is: 7,865.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.84 : 8,543.57 = 5,690.39 : x
  2. Step 2: Convert to fraction form
    6,180.84/8,543.57 = 5,690.39/x
  3. Step 3: Cross multiply
    6,180.84x = 8,543.57 × 5,690.39
  4. Step 4: Simplify right side
    6,180.84x = 48,616,174.12
  5. Step 5: Solve for x
    x = 48,616,174.12/6,180.84
  6. Step 6: Final answer
    x = 7,865.63

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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.