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Finding the Fourth Proportional to 8,642.64, 11,910.72 and 5,985.36

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Solution

The fourth proportional to 8,642.64, 11,910.72 and 5,985.36 is: 8,248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.64 : 11,910.72 = 5,985.36 : x
  2. Step 2: Convert to fraction form
    8,642.64/11,910.72 = 5,985.36/x
  3. Step 3: Cross multiply
    8,642.64x = 11,910.72 × 5,985.36
  4. Step 4: Simplify right side
    8,642.64x = 71,289,947.06
  5. Step 5: Solve for x
    x = 71,289,947.06/8,642.64
  6. Step 6: Final answer
    x = 8,248.63

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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.