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Finding the Fourth Proportional to 2,838.10, 4,258.37 and 988.21

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Solution

The fourth proportional to 2,838.10, 4,258.37 and 988.21 is: 1,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.10 : 4,258.37 = 988.21 : x
  2. Step 2: Convert to fraction form
    2,838.10/4,258.37 = 988.21/x
  3. Step 3: Cross multiply
    2,838.10x = 4,258.37 × 988.21
  4. Step 4: Simplify right side
    2,838.10x = 4,208,148.23
  5. Step 5: Solve for x
    x = 4,208,148.23/2,838.10
  6. Step 6: Final answer
    x = 1,482.73

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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.