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Finding the Fourth Proportional to 3,607.47, 5,411.07 and 1,659.60

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Solution

The fourth proportional to 3,607.47, 5,411.07 and 1,659.60 is: 2,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.47 : 5,411.07 = 1,659.60 : x
  2. Step 2: Convert to fraction form
    3,607.47/5,411.07 = 1,659.60/x
  3. Step 3: Cross multiply
    3,607.47x = 5,411.07 × 1,659.60
  4. Step 4: Simplify right side
    3,607.47x = 8,980,211.77
  5. Step 5: Solve for x
    x = 8,980,211.77/3,607.47
  6. Step 6: Final answer
    x = 2,489.34

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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.