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Finding the Fourth Proportional to 6,457.66, 9,687.50 and 2,759.91

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Solution

The fourth proportional to 6,457.66, 9,687.50 and 2,759.91 is: 4,140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.66 : 9,687.50 = 2,759.91 : x
  2. Step 2: Convert to fraction form
    6,457.66/9,687.50 = 2,759.91/x
  3. Step 3: Cross multiply
    6,457.66x = 9,687.50 × 2,759.91
  4. Step 4: Simplify right side
    6,457.66x = 26,736,588.35
  5. Step 5: Solve for x
    x = 26,736,588.35/6,457.66
  6. Step 6: Final answer
    x = 4,140.29

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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.