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Finding the Fourth Proportional to 6,457.49, 9,687.85 and 1,840.49

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Solution

The fourth proportional to 6,457.49, 9,687.85 and 1,840.49 is: 2,761.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.49 : 9,687.85 = 1,840.49 : x
  2. Step 2: Convert to fraction form
    6,457.49/9,687.85 = 1,840.49/x
  3. Step 3: Cross multiply
    6,457.49x = 9,687.85 × 1,840.49
  4. Step 4: Simplify right side
    6,457.49x = 17,830,347.21
  5. Step 5: Solve for x
    x = 17,830,347.21/6,457.49
  6. Step 6: Final answer
    x = 2,761.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.