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Finding the Fourth Proportional to 8,235, 11,360.25 and 5,583.24

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Solution

The fourth proportional to 8,235, 11,360.25 and 5,583.24 is: 7,702.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235 : 11,360.25 = 5,583.24 : x
  2. Step 2: Convert to fraction form
    8,235/11,360.25 = 5,583.24/x
  3. Step 3: Cross multiply
    8,235x = 11,360.25 × 5,583.24
  4. Step 4: Simplify right side
    8,235x = 63,427,002.21
  5. Step 5: Solve for x
    x = 63,427,002.21/8,235
  6. Step 6: Final answer
    x = 7,702.13

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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.