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Finding the Fourth Proportional to 1,245.84, 1,859.70 and 1,143.12

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Solution

The fourth proportional to 1,245.84, 1,859.70 and 1,143.12 is: 1,706.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.84 : 1,859.70 = 1,143.12 : x
  2. Step 2: Convert to fraction form
    1,245.84/1,859.70 = 1,143.12/x
  3. Step 3: Cross multiply
    1,245.84x = 1,859.70 × 1,143.12
  4. Step 4: Simplify right side
    1,245.84x = 2,125,860.26
  5. Step 5: Solve for x
    x = 2,125,860.26/1,245.84
  6. Step 6: Final answer
    x = 1,706.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.