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Finding the Fourth Proportional to 10,707.36, 14,780.80 and 8,055.44

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Solution

The fourth proportional to 10,707.36, 14,780.80 and 8,055.44 is: 11,120.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.36 : 14,780.80 = 8,055.44 : x
  2. Step 2: Convert to fraction form
    10,707.36/14,780.80 = 8,055.44/x
  3. Step 3: Cross multiply
    10,707.36x = 14,780.80 × 8,055.44
  4. Step 4: Simplify right side
    10,707.36x = 119,065,847.55
  5. Step 5: Solve for x
    x = 119,065,847.55/10,707.36
  6. Step 6: Final answer
    x = 11,120.00

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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.