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Finding the Fourth Proportional to 12,527.84, 17,284.50 and 7,221.94

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Solution

The fourth proportional to 12,527.84, 17,284.50 and 7,221.94 is: 9,964.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.84 : 17,284.50 = 7,221.94 : x
  2. Step 2: Convert to fraction form
    12,527.84/17,284.50 = 7,221.94/x
  3. Step 3: Cross multiply
    12,527.84x = 17,284.50 × 7,221.94
  4. Step 4: Simplify right side
    12,527.84x = 124,827,621.93
  5. Step 5: Solve for x
    x = 124,827,621.93/12,527.84
  6. Step 6: Final answer
    x = 9,964.02

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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.