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Finding the Fourth Proportional to 3,657.77, 5,485.12 and 1,405.95

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Solution

The fourth proportional to 3,657.77, 5,485.12 and 1,405.95 is: 2,108.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.77 : 5,485.12 = 1,405.95 : x
  2. Step 2: Convert to fraction form
    3,657.77/5,485.12 = 1,405.95/x
  3. Step 3: Cross multiply
    3,657.77x = 5,485.12 × 1,405.95
  4. Step 4: Simplify right side
    3,657.77x = 7,711,804.46
  5. Step 5: Solve for x
    x = 7,711,804.46/3,657.77
  6. Step 6: Final answer
    x = 2,108.33

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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.