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Finding the Fourth Proportional to 8,347.74, 11,509.47 and 6,107.82

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Solution

The fourth proportional to 8,347.74, 11,509.47 and 6,107.82 is: 8,421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,347.74 : 11,509.47 = 6,107.82 : x
  2. Step 2: Convert to fraction form
    8,347.74/11,509.47 = 6,107.82/x
  3. Step 3: Cross multiply
    8,347.74x = 11,509.47 × 6,107.82
  4. Step 4: Simplify right side
    8,347.74x = 70,297,771.06
  5. Step 5: Solve for x
    x = 70,297,771.06/8,347.74
  6. Step 6: Final answer
    x = 8,421.17

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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.