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Finding the Fourth Proportional to 6,903.54, 10,353.35 and 1,971.86

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Solution

The fourth proportional to 6,903.54, 10,353.35 and 1,971.86 is: 2,957.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903.54 : 10,353.35 = 1,971.86 : x
  2. Step 2: Convert to fraction form
    6,903.54/10,353.35 = 1,971.86/x
  3. Step 3: Cross multiply
    6,903.54x = 10,353.35 × 1,971.86
  4. Step 4: Simplify right side
    6,903.54x = 20,415,309.89
  5. Step 5: Solve for x
    x = 20,415,309.89/6,903.54
  6. Step 6: Final answer
    x = 2,957.22

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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.