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Finding the Fourth Proportional to 3,655.66, 5,485.72 and 1,708

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Solution

The fourth proportional to 3,655.66, 5,485.72 and 1,708 is: 2,563.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.66 : 5,485.72 = 1,708 : x
  2. Step 2: Convert to fraction form
    3,655.66/5,485.72 = 1,708/x
  3. Step 3: Cross multiply
    3,655.66x = 5,485.72 × 1,708
  4. Step 4: Simplify right side
    3,655.66x = 9,369,609.76
  5. Step 5: Solve for x
    x = 9,369,609.76/3,655.66
  6. Step 6: Final answer
    x = 2,563.04

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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.