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Finding the Fourth Proportional to 7,157.10, 9,876.31 and 3,970.27

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Solution

The fourth proportional to 7,157.10, 9,876.31 and 3,970.27 is: 5,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.10 : 9,876.31 = 3,970.27 : x
  2. Step 2: Convert to fraction form
    7,157.10/9,876.31 = 3,970.27/x
  3. Step 3: Cross multiply
    7,157.10x = 9,876.31 × 3,970.27
  4. Step 4: Simplify right side
    7,157.10x = 39,211,662.53
  5. Step 5: Solve for x
    x = 39,211,662.53/7,157.10
  6. Step 6: Final answer
    x = 5,478.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.