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Finding the Fourth Proportional to 10,099.98, 13,934.04 and 6,321.60

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Solution

The fourth proportional to 10,099.98, 13,934.04 and 6,321.60 is: 8,721.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.98 : 13,934.04 = 6,321.60 : x
  2. Step 2: Convert to fraction form
    10,099.98/13,934.04 = 6,321.60/x
  3. Step 3: Cross multiply
    10,099.98x = 13,934.04 × 6,321.60
  4. Step 4: Simplify right side
    10,099.98x = 88,085,427.26
  5. Step 5: Solve for x
    x = 88,085,427.26/10,099.98
  6. Step 6: Final answer
    x = 8,721.35

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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.