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Finding the Fourth Proportional to 9,415.76, 12,986.19 and 8,004.11

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Solution

The fourth proportional to 9,415.76, 12,986.19 and 8,004.11 is: 11,039.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.76 : 12,986.19 = 8,004.11 : x
  2. Step 2: Convert to fraction form
    9,415.76/12,986.19 = 8,004.11/x
  3. Step 3: Cross multiply
    9,415.76x = 12,986.19 × 8,004.11
  4. Step 4: Simplify right side
    9,415.76x = 103,942,828.31
  5. Step 5: Solve for x
    x = 103,942,828.31/9,415.76
  6. Step 6: Final answer
    x = 11,039.25

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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.