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Finding the Fourth Proportional to 11,285, 15,573.38 and 6,317

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Solution

The fourth proportional to 11,285, 15,573.38 and 6,317 is: 8,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,285 : 15,573.38 = 6,317 : x
  2. Step 2: Convert to fraction form
    11,285/15,573.38 = 6,317/x
  3. Step 3: Cross multiply
    11,285x = 15,573.38 × 6,317
  4. Step 4: Simplify right side
    11,285x = 98,377,041.46
  5. Step 5: Solve for x
    x = 98,377,041.46/11,285
  6. Step 6: Final answer
    x = 8,717.50

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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.