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Finding the Fourth Proportional to 5,309.37, 7,964.04 and 1,611.60

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Solution

The fourth proportional to 5,309.37, 7,964.04 and 1,611.60 is: 2,417.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.37 : 7,964.04 = 1,611.60 : x
  2. Step 2: Convert to fraction form
    5,309.37/7,964.04 = 1,611.60/x
  3. Step 3: Cross multiply
    5,309.37x = 7,964.04 × 1,611.60
  4. Step 4: Simplify right side
    5,309.37x = 12,834,846.86
  5. Step 5: Solve for x
    x = 12,834,846.86/5,309.37
  6. Step 6: Final answer
    x = 2,417.40

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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.