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Finding the Fourth Proportional to 8,622.80, 11,915.60 and 7,346

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Solution

The fourth proportional to 8,622.80, 11,915.60 and 7,346 is: 10,151.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,622.80 : 11,915.60 = 7,346 : x
  2. Step 2: Convert to fraction form
    8,622.80/11,915.60 = 7,346/x
  3. Step 3: Cross multiply
    8,622.80x = 11,915.60 × 7,346
  4. Step 4: Simplify right side
    8,622.80x = 87,531,997.60
  5. Step 5: Solve for x
    x = 87,531,997.60/8,622.80
  6. Step 6: Final answer
    x = 10,151.23

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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.