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Finding the Fourth Proportional to 12,765.94, 17,614.40 and 7,459.74

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Solution

The fourth proportional to 12,765.94, 17,614.40 and 7,459.74 is: 10,292.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.94 : 17,614.40 = 7,459.74 : x
  2. Step 2: Convert to fraction form
    12,765.94/17,614.40 = 7,459.74/x
  3. Step 3: Cross multiply
    12,765.94x = 17,614.40 × 7,459.74
  4. Step 4: Simplify right side
    12,765.94x = 131,398,844.26
  5. Step 5: Solve for x
    x = 131,398,844.26/12,765.94
  6. Step 6: Final answer
    x = 10,292.92

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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.