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Finding the Fourth Proportional to 3,604.99, 5,405.64 and 1,655.50

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Solution

The fourth proportional to 3,604.99, 5,405.64 and 1,655.50 is: 2,482.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.99 : 5,405.64 = 1,655.50 : x
  2. Step 2: Convert to fraction form
    3,604.99/5,405.64 = 1,655.50/x
  3. Step 3: Cross multiply
    3,604.99x = 5,405.64 × 1,655.50
  4. Step 4: Simplify right side
    3,604.99x = 8,949,037.02
  5. Step 5: Solve for x
    x = 8,949,037.02/3,604.99
  6. Step 6: Final answer
    x = 2,482.40

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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.