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Finding the Fourth Proportional to 5,157.56, 7,674.29 and 5,140.28

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Solution

The fourth proportional to 5,157.56, 7,674.29 and 5,140.28 is: 7,648.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.56 : 7,674.29 = 5,140.28 : x
  2. Step 2: Convert to fraction form
    5,157.56/7,674.29 = 5,140.28/x
  3. Step 3: Cross multiply
    5,157.56x = 7,674.29 × 5,140.28
  4. Step 4: Simplify right side
    5,157.56x = 39,447,999.40
  5. Step 5: Solve for x
    x = 39,447,999.40/5,157.56
  6. Step 6: Final answer
    x = 7,648.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.