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Finding the Fourth Proportional to 2,302.78, 3,453.72 and 1,070.77

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Solution

The fourth proportional to 2,302.78, 3,453.72 and 1,070.77 is: 1,605.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.78 : 3,453.72 = 1,070.77 : x
  2. Step 2: Convert to fraction form
    2,302.78/3,453.72 = 1,070.77/x
  3. Step 3: Cross multiply
    2,302.78x = 3,453.72 × 1,070.77
  4. Step 4: Simplify right side
    2,302.78x = 3,698,139.76
  5. Step 5: Solve for x
    x = 3,698,139.76/2,302.78
  6. Step 6: Final answer
    x = 1,605.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.