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Finding the Fourth Proportional to 3,505.86, 5,259.71 and 1,656.95

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Solution

The fourth proportional to 3,505.86, 5,259.71 and 1,656.95 is: 2,485.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.86 : 5,259.71 = 1,656.95 : x
  2. Step 2: Convert to fraction form
    3,505.86/5,259.71 = 1,656.95/x
  3. Step 3: Cross multiply
    3,505.86x = 5,259.71 × 1,656.95
  4. Step 4: Simplify right side
    3,505.86x = 8,715,041.90
  5. Step 5: Solve for x
    x = 8,715,041.90/3,505.86
  6. Step 6: Final answer
    x = 2,485.85

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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.