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Finding the Fourth Proportional to 2,862.84, 4,284.90 and 1,768.08

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Solution

The fourth proportional to 2,862.84, 4,284.90 and 1,768.08 is: 2,646.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.84 : 4,284.90 = 1,768.08 : x
  2. Step 2: Convert to fraction form
    2,862.84/4,284.90 = 1,768.08/x
  3. Step 3: Cross multiply
    2,862.84x = 4,284.90 × 1,768.08
  4. Step 4: Simplify right side
    2,862.84x = 7,576,045.99
  5. Step 5: Solve for x
    x = 7,576,045.99/2,862.84
  6. Step 6: Final answer
    x = 2,646.34

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1.5x scale

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.