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Finding the Fourth Proportional to 1,762.79, 2,431.84 and 1,239.12

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Solution

The fourth proportional to 1,762.79, 2,431.84 and 1,239.12 is: 1,709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.79 : 2,431.84 = 1,239.12 : x
  2. Step 2: Convert to fraction form
    1,762.79/2,431.84 = 1,239.12/x
  3. Step 3: Cross multiply
    1,762.79x = 2,431.84 × 1,239.12
  4. Step 4: Simplify right side
    1,762.79x = 3,013,335.39
  5. Step 5: Solve for x
    x = 3,013,335.39/1,762.79
  6. Step 6: Final answer
    x = 1,709.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.