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Finding the Fourth Proportional to 11,762.34, 16,231.50 and 6,457.08

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Solution

The fourth proportional to 11,762.34, 16,231.50 and 6,457.08 is: 8,910.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.34 : 16,231.50 = 6,457.08 : x
  2. Step 2: Convert to fraction form
    11,762.34/16,231.50 = 6,457.08/x
  3. Step 3: Cross multiply
    11,762.34x = 16,231.50 × 6,457.08
  4. Step 4: Simplify right side
    11,762.34x = 104,808,094.02
  5. Step 5: Solve for x
    x = 104,808,094.02/11,762.34
  6. Step 6: Final answer
    x = 8,910.48

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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.