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Finding the Fourth Proportional to 11,762.42, 16,232.40 and 6,457.32

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Solution

The fourth proportional to 11,762.42, 16,232.40 and 6,457.32 is: 8,911.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.42 : 16,232.40 = 6,457.32 : x
  2. Step 2: Convert to fraction form
    11,762.42/16,232.40 = 6,457.32/x
  3. Step 3: Cross multiply
    11,762.42x = 16,232.40 × 6,457.32
  4. Step 4: Simplify right side
    11,762.42x = 104,817,801.17
  5. Step 5: Solve for x
    x = 104,817,801.17/11,762.42
  6. Step 6: Final answer
    x = 8,911.25

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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.