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Finding the Fourth Proportional to 8,719.20, 13,054.16 and 8,030.28

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Solution

The fourth proportional to 8,719.20, 13,054.16 and 8,030.28 is: 12,022.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,719.20 : 13,054.16 = 8,030.28 : x
  2. Step 2: Convert to fraction form
    8,719.20/13,054.16 = 8,030.28/x
  3. Step 3: Cross multiply
    8,719.20x = 13,054.16 × 8,030.28
  4. Step 4: Simplify right side
    8,719.20x = 104,828,559.96
  5. Step 5: Solve for x
    x = 104,828,559.96/8,719.20
  6. Step 6: Final answer
    x = 12,022.73

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Why These Related Problems?

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