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Finding the Fourth Proportional to 11,030.80, 15,211.56 and 9,772.24

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Solution

The fourth proportional to 11,030.80, 15,211.56 and 9,772.24 is: 13,476.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,030.80 : 15,211.56 = 9,772.24 : x
  2. Step 2: Convert to fraction form
    11,030.80/15,211.56 = 9,772.24/x
  3. Step 3: Cross multiply
    11,030.80x = 15,211.56 × 9,772.24
  4. Step 4: Simplify right side
    11,030.80x = 148,651,015.09
  5. Step 5: Solve for x
    x = 148,651,015.09/11,030.80
  6. Step 6: Final answer
    x = 13,476.00

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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.