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Finding the Fourth Proportional to 7,151.37, 9,865.57 and 4,634.31

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Solution

The fourth proportional to 7,151.37, 9,865.57 and 4,634.31 is: 6,393.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.37 : 9,865.57 = 4,634.31 : x
  2. Step 2: Convert to fraction form
    7,151.37/9,865.57 = 4,634.31/x
  3. Step 3: Cross multiply
    7,151.37x = 9,865.57 × 4,634.31
  4. Step 4: Simplify right side
    7,151.37x = 45,720,109.71
  5. Step 5: Solve for x
    x = 45,720,109.71/7,151.37
  6. Step 6: Final answer
    x = 6,393.20

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