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Finding the Fourth Proportional to 12,500.84, 17,254.46 and 7,782.32

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Solution

The fourth proportional to 12,500.84, 17,254.46 and 7,782.32 is: 10,741.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,500.84 : 17,254.46 = 7,782.32 : x
  2. Step 2: Convert to fraction form
    12,500.84/17,254.46 = 7,782.32/x
  3. Step 3: Cross multiply
    12,500.84x = 17,254.46 × 7,782.32
  4. Step 4: Simplify right side
    12,500.84x = 134,279,662.33
  5. Step 5: Solve for x
    x = 134,279,662.33/12,500.84
  6. Step 6: Final answer
    x = 10,741.66

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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.