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Finding the Fourth Proportional to 6,965.31, 10,447.70 and 1,771.32

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Solution

The fourth proportional to 6,965.31, 10,447.70 and 1,771.32 is: 2,656.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.31 : 10,447.70 = 1,771.32 : x
  2. Step 2: Convert to fraction form
    6,965.31/10,447.70 = 1,771.32/x
  3. Step 3: Cross multiply
    6,965.31x = 10,447.70 × 1,771.32
  4. Step 4: Simplify right side
    6,965.31x = 18,506,211.11
  5. Step 5: Solve for x
    x = 18,506,211.11/6,965.31
  6. Step 6: Final answer
    x = 2,656.91

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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.