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Finding the Fourth Proportional to 1,800.79, 2,701.59 and 1,302.84

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Solution

The fourth proportional to 1,800.79, 2,701.59 and 1,302.84 is: 1,954.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.79 : 2,701.59 = 1,302.84 : x
  2. Step 2: Convert to fraction form
    1,800.79/2,701.59 = 1,302.84/x
  3. Step 3: Cross multiply
    1,800.79x = 2,701.59 × 1,302.84
  4. Step 4: Simplify right side
    1,800.79x = 3,519,746.27
  5. Step 5: Solve for x
    x = 3,519,746.27/1,800.79
  6. Step 6: Final answer
    x = 1,954.56

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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.