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Finding the Fourth Proportional to 1,283.10, 1,924.77 and 1,064.22

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Solution

The fourth proportional to 1,283.10, 1,924.77 and 1,064.22 is: 1,596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.10 : 1,924.77 = 1,064.22 : x
  2. Step 2: Convert to fraction form
    1,283.10/1,924.77 = 1,064.22/x
  3. Step 3: Cross multiply
    1,283.10x = 1,924.77 × 1,064.22
  4. Step 4: Simplify right side
    1,283.10x = 2,048,378.73
  5. Step 5: Solve for x
    x = 2,048,378.73/1,283.10
  6. Step 6: Final answer
    x = 1,596.43

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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.