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Finding the Fourth Proportional to 2,191.84, 3,282.36 and 1,700.80

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Solution

The fourth proportional to 2,191.84, 3,282.36 and 1,700.80 is: 2,547.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.84 : 3,282.36 = 1,700.80 : x
  2. Step 2: Convert to fraction form
    2,191.84/3,282.36 = 1,700.80/x
  3. Step 3: Cross multiply
    2,191.84x = 3,282.36 × 1,700.80
  4. Step 4: Simplify right side
    2,191.84x = 5,582,637.89
  5. Step 5: Solve for x
    x = 5,582,637.89/2,191.84
  6. Step 6: Final answer
    x = 2,547.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.