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Finding the Fourth Proportional to 1,742.84, 2,615.10 and 865.43

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Solution

The fourth proportional to 1,742.84, 2,615.10 and 865.43 is: 1,298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.84 : 2,615.10 = 865.43 : x
  2. Step 2: Convert to fraction form
    1,742.84/2,615.10 = 865.43/x
  3. Step 3: Cross multiply
    1,742.84x = 2,615.10 × 865.43
  4. Step 4: Simplify right side
    1,742.84x = 2,263,172.92
  5. Step 5: Solve for x
    x = 2,263,172.92/1,742.84
  6. Step 6: Final answer
    x = 1,298.56

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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.