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Finding the Fourth Proportional to 3,980.71, 5,972.27 and 1,607.57

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Solution

The fourth proportional to 3,980.71, 5,972.27 and 1,607.57 is: 2,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.71 : 5,972.27 = 1,607.57 : x
  2. Step 2: Convert to fraction form
    3,980.71/5,972.27 = 1,607.57/x
  3. Step 3: Cross multiply
    3,980.71x = 5,972.27 × 1,607.57
  4. Step 4: Simplify right side
    3,980.71x = 9,600,842.08
  5. Step 5: Solve for x
    x = 9,600,842.08/3,980.71
  6. Step 6: Final answer
    x = 2,411.84

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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.