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Finding the Fourth Proportional to 3,255.66, 4,885.47 and 1,308

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Solution

The fourth proportional to 3,255.66, 4,885.47 and 1,308 is: 1,962.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.66 : 4,885.47 = 1,308 : x
  2. Step 2: Convert to fraction form
    3,255.66/4,885.47 = 1,308/x
  3. Step 3: Cross multiply
    3,255.66x = 4,885.47 × 1,308
  4. Step 4: Simplify right side
    3,255.66x = 6,390,194.76
  5. Step 5: Solve for x
    x = 6,390,194.76/3,255.66
  6. Step 6: Final answer
    x = 1,962.80

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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.