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Finding the Fourth Proportional to 5,156.54, 7,734.80 and 1,868.54

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Solution

The fourth proportional to 5,156.54, 7,734.80 and 1,868.54 is: 2,802.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.54 : 7,734.80 = 1,868.54 : x
  2. Step 2: Convert to fraction form
    5,156.54/7,734.80 = 1,868.54/x
  3. Step 3: Cross multiply
    5,156.54x = 7,734.80 × 1,868.54
  4. Step 4: Simplify right side
    5,156.54x = 14,452,783.19
  5. Step 5: Solve for x
    x = 14,452,783.19/5,156.54
  6. Step 6: Final answer
    x = 2,802.81

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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.