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Finding the Fourth Proportional to 11,422.64, 15,764.64 and 6,707.36

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Solution

The fourth proportional to 11,422.64, 15,764.64 and 6,707.36 is: 9,256.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.64 : 15,764.64 = 6,707.36 : x
  2. Step 2: Convert to fraction form
    11,422.64/15,764.64 = 6,707.36/x
  3. Step 3: Cross multiply
    11,422.64x = 15,764.64 × 6,707.36
  4. Step 4: Simplify right side
    11,422.64x = 105,739,115.75
  5. Step 5: Solve for x
    x = 105,739,115.75/11,422.64
  6. Step 6: Final answer
    x = 9,256.98

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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.