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Finding the Fourth Proportional to 2,838.71, 4,256.69 and 989.93

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Solution

The fourth proportional to 2,838.71, 4,256.69 and 989.93 is: 1,484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.71 : 4,256.69 = 989.93 : x
  2. Step 2: Convert to fraction form
    2,838.71/4,256.69 = 989.93/x
  3. Step 3: Cross multiply
    2,838.71x = 4,256.69 × 989.93
  4. Step 4: Simplify right side
    2,838.71x = 4,213,798.90
  5. Step 5: Solve for x
    x = 4,213,798.90/2,838.71
  6. Step 6: Final answer
    x = 1,484.41

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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.