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Finding the Fourth Proportional to 1,643.12, 2,267.76 and 1,053.92

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Solution

The fourth proportional to 1,643.12, 2,267.76 and 1,053.92 is: 1,454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.12 : 2,267.76 = 1,053.92 : x
  2. Step 2: Convert to fraction form
    1,643.12/2,267.76 = 1,053.92/x
  3. Step 3: Cross multiply
    1,643.12x = 2,267.76 × 1,053.92
  4. Step 4: Simplify right side
    1,643.12x = 2,390,037.62
  5. Step 5: Solve for x
    x = 2,390,037.62/1,643.12
  6. Step 6: Final answer
    x = 1,454.57

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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.