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Finding the Fourth Proportional to 6,130.72, 8,461.26 and 5,755.36

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Solution

The fourth proportional to 6,130.72, 8,461.26 and 5,755.36 is: 7,943.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.72 : 8,461.26 = 5,755.36 : x
  2. Step 2: Convert to fraction form
    6,130.72/8,461.26 = 5,755.36/x
  3. Step 3: Cross multiply
    6,130.72x = 8,461.26 × 5,755.36
  4. Step 4: Simplify right side
    6,130.72x = 48,697,597.35
  5. Step 5: Solve for x
    x = 48,697,597.35/6,130.72
  6. Step 6: Final answer
    x = 7,943.21

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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.