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Finding the Fourth Proportional to 11,527.90, 17,280.78 and 7,356.13

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Solution

The fourth proportional to 11,527.90, 17,280.78 and 7,356.13 is: 11,027.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.90 : 17,280.78 = 7,356.13 : x
  2. Step 2: Convert to fraction form
    11,527.90/17,280.78 = 7,356.13/x
  3. Step 3: Cross multiply
    11,527.90x = 17,280.78 × 7,356.13
  4. Step 4: Simplify right side
    11,527.90x = 127,119,664.18
  5. Step 5: Solve for x
    x = 127,119,664.18/11,527.90
  6. Step 6: Final answer
    x = 11,027.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.