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Finding the Fourth Proportional to 7,140.49, 9,854.48 and 4,157.26

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Solution

The fourth proportional to 7,140.49, 9,854.48 and 4,157.26 is: 5,737.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.49 : 9,854.48 = 4,157.26 : x
  2. Step 2: Convert to fraction form
    7,140.49/9,854.48 = 4,157.26/x
  3. Step 3: Cross multiply
    7,140.49x = 9,854.48 × 4,157.26
  4. Step 4: Simplify right side
    7,140.49x = 40,967,621.28
  5. Step 5: Solve for x
    x = 40,967,621.28/7,140.49
  6. Step 6: Final answer
    x = 5,737.37

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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.