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Finding the Fourth Proportional to 8,258.43, 12,381.60 and 5,300.22

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Solution

The fourth proportional to 8,258.43, 12,381.60 and 5,300.22 is: 7,946.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.43 : 12,381.60 = 5,300.22 : x
  2. Step 2: Convert to fraction form
    8,258.43/12,381.60 = 5,300.22/x
  3. Step 3: Cross multiply
    8,258.43x = 12,381.60 × 5,300.22
  4. Step 4: Simplify right side
    8,258.43x = 65,625,203.95
  5. Step 5: Solve for x
    x = 65,625,203.95/8,258.43
  6. Step 6: Final answer
    x = 7,946.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.