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Finding the Fourth Proportional to 6,415.09, 9,622 and 3,130.45

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Solution

The fourth proportional to 6,415.09, 9,622 and 3,130.45 is: 4,695.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.09 : 9,622 = 3,130.45 : x
  2. Step 2: Convert to fraction form
    6,415.09/9,622 = 3,130.45/x
  3. Step 3: Cross multiply
    6,415.09x = 9,622 × 3,130.45
  4. Step 4: Simplify right side
    6,415.09x = 30,121,189.90
  5. Step 5: Solve for x
    x = 30,121,189.90/6,415.09
  6. Step 6: Final answer
    x = 4,695.37

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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.