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Finding the Fourth Proportional to 2,381.84, 3,288.68 and 1,720.16

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Solution

The fourth proportional to 2,381.84, 3,288.68 and 1,720.16 is: 2,375.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.84 : 3,288.68 = 1,720.16 : x
  2. Step 2: Convert to fraction form
    2,381.84/3,288.68 = 1,720.16/x
  3. Step 3: Cross multiply
    2,381.84x = 3,288.68 × 1,720.16
  4. Step 4: Simplify right side
    2,381.84x = 5,657,055.79
  5. Step 5: Solve for x
    x = 5,657,055.79/2,381.84
  6. Step 6: Final answer
    x = 2,375.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.