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Finding the Fourth Proportional to 8,509.86, 11,744.82 and 5,107.02

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Solution

The fourth proportional to 8,509.86, 11,744.82 and 5,107.02 is: 7,048.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.86 : 11,744.82 = 5,107.02 : x
  2. Step 2: Convert to fraction form
    8,509.86/11,744.82 = 5,107.02/x
  3. Step 3: Cross multiply
    8,509.86x = 11,744.82 × 5,107.02
  4. Step 4: Simplify right side
    8,509.86x = 59,980,986.59
  5. Step 5: Solve for x
    x = 59,980,986.59/8,509.86
  6. Step 6: Final answer
    x = 7,048.41

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1.5x scale

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.