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Finding the Fourth Proportional to 1,768.82, 2,652.89 and 1,681.01

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Solution

The fourth proportional to 1,768.82, 2,652.89 and 1,681.01 is: 2,521.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.82 : 2,652.89 = 1,681.01 : x
  2. Step 2: Convert to fraction form
    1,768.82/2,652.89 = 1,681.01/x
  3. Step 3: Cross multiply
    1,768.82x = 2,652.89 × 1,681.01
  4. Step 4: Simplify right side
    1,768.82x = 4,459,526.21
  5. Step 5: Solve for x
    x = 4,459,526.21/1,768.82
  6. Step 6: Final answer
    x = 2,521.19

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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.