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Finding the Fourth Proportional to 8,266.58, 11,408 and 4,489.76

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Solution

The fourth proportional to 8,266.58, 11,408 and 4,489.76 is: 6,195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.58 : 11,408 = 4,489.76 : x
  2. Step 2: Convert to fraction form
    8,266.58/11,408 = 4,489.76/x
  3. Step 3: Cross multiply
    8,266.58x = 11,408 × 4,489.76
  4. Step 4: Simplify right side
    8,266.58x = 51,219,182.08
  5. Step 5: Solve for x
    x = 51,219,182.08/8,266.58
  6. Step 6: Final answer
    x = 6,195.93

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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.