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Finding the Fourth Proportional to 11,262.16, 15,534.40 and 6,782.88

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Solution

The fourth proportional to 11,262.16, 15,534.40 and 6,782.88 is: 9,355.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,262.16 : 15,534.40 = 6,782.88 : x
  2. Step 2: Convert to fraction form
    11,262.16/15,534.40 = 6,782.88/x
  3. Step 3: Cross multiply
    11,262.16x = 15,534.40 × 6,782.88
  4. Step 4: Simplify right side
    11,262.16x = 105,367,971.07
  5. Step 5: Solve for x
    x = 105,367,971.07/11,262.16
  6. Step 6: Final answer
    x = 9,355.93

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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.