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Finding the Fourth Proportional to 1,642.85, 2,267.14 and 1,053.73

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Solution

The fourth proportional to 1,642.85, 2,267.14 and 1,053.73 is: 1,454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.85 : 2,267.14 = 1,053.73 : x
  2. Step 2: Convert to fraction form
    1,642.85/2,267.14 = 1,053.73/x
  3. Step 3: Cross multiply
    1,642.85x = 2,267.14 × 1,053.73
  4. Step 4: Simplify right side
    1,642.85x = 2,388,953.43
  5. Step 5: Solve for x
    x = 2,388,953.43/1,642.85
  6. Step 6: Final answer
    x = 1,454.15

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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.