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Finding the Fourth Proportional to 6,457.61, 9,685.14 and 1,776.41

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Solution

The fourth proportional to 6,457.61, 9,685.14 and 1,776.41 is: 2,664.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.61 : 9,685.14 = 1,776.41 : x
  2. Step 2: Convert to fraction form
    6,457.61/9,685.14 = 1,776.41/x
  3. Step 3: Cross multiply
    6,457.61x = 9,685.14 × 1,776.41
  4. Step 4: Simplify right side
    6,457.61x = 17,204,760.78
  5. Step 5: Solve for x
    x = 17,204,760.78/6,457.61
  6. Step 6: Final answer
    x = 2,664.26

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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.