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Finding the Fourth Proportional to 8,140.68, 11,233.98 and 5,346

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Solution

The fourth proportional to 8,140.68, 11,233.98 and 5,346 is: 7,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.68 : 11,233.98 = 5,346 : x
  2. Step 2: Convert to fraction form
    8,140.68/11,233.98 = 5,346/x
  3. Step 3: Cross multiply
    8,140.68x = 11,233.98 × 5,346
  4. Step 4: Simplify right side
    8,140.68x = 60,056,857.08
  5. Step 5: Solve for x
    x = 60,056,857.08/8,140.68
  6. Step 6: Final answer
    x = 7,377.38

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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.