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Finding the Fourth Proportional to 2,838.61, 4,284.57 and 2,838.61

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Solution

The fourth proportional to 2,838.61, 4,284.57 and 2,838.61 is: 4,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.61 : 4,284.57 = 2,838.61 : x
  2. Step 2: Convert to fraction form
    2,838.61/4,284.57 = 2,838.61/x
  3. Step 3: Cross multiply
    2,838.61x = 4,284.57 × 2,838.61
  4. Step 4: Simplify right side
    2,838.61x = 12,162,194.73
  5. Step 5: Solve for x
    x = 12,162,194.73/2,838.61
  6. Step 6: Final answer
    x = 4,284.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.