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Finding the Fourth Proportional to 8,520, 11,757.60 and 7,022.40

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Solution

The fourth proportional to 8,520, 11,757.60 and 7,022.40 is: 9,690.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520 : 11,757.60 = 7,022.40 : x
  2. Step 2: Convert to fraction form
    8,520/11,757.60 = 7,022.40/x
  3. Step 3: Cross multiply
    8,520x = 11,757.60 × 7,022.40
  4. Step 4: Simplify right side
    8,520x = 82,566,570.24
  5. Step 5: Solve for x
    x = 82,566,570.24/8,520
  6. Step 6: Final answer
    x = 9,690.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.