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Finding the Fourth Proportional to 3,656.86, 5,485.86 and 1,577.45

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Solution

The fourth proportional to 3,656.86, 5,485.86 and 1,577.45 is: 2,366.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.86 : 5,485.86 = 1,577.45 : x
  2. Step 2: Convert to fraction form
    3,656.86/5,485.86 = 1,577.45/x
  3. Step 3: Cross multiply
    3,656.86x = 5,485.86 × 1,577.45
  4. Step 4: Simplify right side
    3,656.86x = 8,653,683.57
  5. Step 5: Solve for x
    x = 8,653,683.57/3,656.86
  6. Step 6: Final answer
    x = 2,366.43

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1.5x scale

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.