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Finding the Fourth Proportional to 8,422.60, 11,627.94 and 5,840.20

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Solution

The fourth proportional to 8,422.60, 11,627.94 and 5,840.20 is: 8,062.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.60 : 11,627.94 = 5,840.20 : x
  2. Step 2: Convert to fraction form
    8,422.60/11,627.94 = 5,840.20/x
  3. Step 3: Cross multiply
    8,422.60x = 11,627.94 × 5,840.20
  4. Step 4: Simplify right side
    8,422.60x = 67,909,495.19
  5. Step 5: Solve for x
    x = 67,909,495.19/8,422.60
  6. Step 6: Final answer
    x = 8,062.77

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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.