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Finding the Fourth Proportional to 8,192.57, 11,310 and 5,543.56

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Solution

The fourth proportional to 8,192.57, 11,310 and 5,543.56 is: 7,652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.57 : 11,310 = 5,543.56 : x
  2. Step 2: Convert to fraction form
    8,192.57/11,310 = 5,543.56/x
  3. Step 3: Cross multiply
    8,192.57x = 11,310 × 5,543.56
  4. Step 4: Simplify right side
    8,192.57x = 62,697,663.60
  5. Step 5: Solve for x
    x = 62,697,663.60/8,192.57
  6. Step 6: Final answer
    x = 7,652.99

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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.