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Finding the Fourth Proportional to 3,307.76, 4,564.64 and 1,891.53

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Solution

The fourth proportional to 3,307.76, 4,564.64 and 1,891.53 is: 2,610.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.76 : 4,564.64 = 1,891.53 : x
  2. Step 2: Convert to fraction form
    3,307.76/4,564.64 = 1,891.53/x
  3. Step 3: Cross multiply
    3,307.76x = 4,564.64 × 1,891.53
  4. Step 4: Simplify right side
    3,307.76x = 8,634,142.73
  5. Step 5: Solve for x
    x = 8,634,142.73/3,307.76
  6. Step 6: Final answer
    x = 2,610.27

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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.