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Finding the Fourth Proportional to 2,645.42, 3,972.02 and 1,477.70

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Solution

The fourth proportional to 2,645.42, 3,972.02 and 1,477.70 is: 2,218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.42 : 3,972.02 = 1,477.70 : x
  2. Step 2: Convert to fraction form
    2,645.42/3,972.02 = 1,477.70/x
  3. Step 3: Cross multiply
    2,645.42x = 3,972.02 × 1,477.70
  4. Step 4: Simplify right side
    2,645.42x = 5,869,426.71
  5. Step 5: Solve for x
    x = 5,869,426.71/2,645.42
  6. Step 6: Final answer
    x = 2,218.72

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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.