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Finding the Fourth Proportional to 8,422.58, 11,623.02 and 4,646.12

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Solution

The fourth proportional to 8,422.58, 11,623.02 and 4,646.12 is: 6,411.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.58 : 11,623.02 = 4,646.12 : x
  2. Step 2: Convert to fraction form
    8,422.58/11,623.02 = 4,646.12/x
  3. Step 3: Cross multiply
    8,422.58x = 11,623.02 × 4,646.12
  4. Step 4: Simplify right side
    8,422.58x = 54,001,887.57
  5. Step 5: Solve for x
    x = 54,001,887.57/8,422.58
  6. Step 6: Final answer
    x = 6,411.56

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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.