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Finding the Fourth Proportional to 1,352.84, 1,868.12 and 1,020.66

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Solution

The fourth proportional to 1,352.84, 1,868.12 and 1,020.66 is: 1,409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.84 : 1,868.12 = 1,020.66 : x
  2. Step 2: Convert to fraction form
    1,352.84/1,868.12 = 1,020.66/x
  3. Step 3: Cross multiply
    1,352.84x = 1,868.12 × 1,020.66
  4. Step 4: Simplify right side
    1,352.84x = 1,906,710.26
  5. Step 5: Solve for x
    x = 1,906,710.26/1,352.84
  6. Step 6: Final answer
    x = 1,409.42

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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.