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Finding the Fourth Proportional to 5,328.63, 7,994.03 and 1,865.43

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Solution

The fourth proportional to 5,328.63, 7,994.03 and 1,865.43 is: 2,798.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,328.63 : 7,994.03 = 1,865.43 : x
  2. Step 2: Convert to fraction form
    5,328.63/7,994.03 = 1,865.43/x
  3. Step 3: Cross multiply
    5,328.63x = 7,994.03 × 1,865.43
  4. Step 4: Simplify right side
    5,328.63x = 14,912,294.06
  5. Step 5: Solve for x
    x = 14,912,294.06/5,328.63
  6. Step 6: Final answer
    x = 2,798.52

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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.