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Finding the Fourth Proportional to 11,762.74, 16,232.60 and 6,457.89

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Solution

The fourth proportional to 11,762.74, 16,232.60 and 6,457.89 is: 8,911.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.74 : 16,232.60 = 6,457.89 : x
  2. Step 2: Convert to fraction form
    11,762.74/16,232.60 = 6,457.89/x
  3. Step 3: Cross multiply
    11,762.74x = 16,232.60 × 6,457.89
  4. Step 4: Simplify right side
    11,762.74x = 104,828,422.23
  5. Step 5: Solve for x
    x = 104,828,422.23/11,762.74
  6. Step 6: Final answer
    x = 8,911.91

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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.