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Finding the Fourth Proportional to 2,838.52, 4,257.81 and 989.63

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Solution

The fourth proportional to 2,838.52, 4,257.81 and 989.63 is: 1,484.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.52 : 4,257.81 = 989.63 : x
  2. Step 2: Convert to fraction form
    2,838.52/4,257.81 = 989.63/x
  3. Step 3: Cross multiply
    2,838.52x = 4,257.81 × 989.63
  4. Step 4: Simplify right side
    2,838.52x = 4,213,656.51
  5. Step 5: Solve for x
    x = 4,213,656.51/2,838.52
  6. Step 6: Final answer
    x = 1,484.46

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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.