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Finding the Fourth Proportional to 3,780, 5,637.12 and 3,360.48

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Solution

The fourth proportional to 3,780, 5,637.12 and 3,360.48 is: 5,011.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780 : 5,637.12 = 3,360.48 : x
  2. Step 2: Convert to fraction form
    3,780/5,637.12 = 3,360.48/x
  3. Step 3: Cross multiply
    3,780x = 5,637.12 × 3,360.48
  4. Step 4: Simplify right side
    3,780x = 18,943,429.02
  5. Step 5: Solve for x
    x = 18,943,429.02/3,780
  6. Step 6: Final answer
    x = 5,011.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.