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Finding the Fourth Proportional to 9,409.16, 12,986.34 and 8,939.24

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Solution

The fourth proportional to 9,409.16, 12,986.34 and 8,939.24 is: 12,337.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.16 : 12,986.34 = 8,939.24 : x
  2. Step 2: Convert to fraction form
    9,409.16/12,986.34 = 8,939.24/x
  3. Step 3: Cross multiply
    9,409.16x = 12,986.34 × 8,939.24
  4. Step 4: Simplify right side
    9,409.16x = 116,088,009.98
  5. Step 5: Solve for x
    x = 116,088,009.98/9,409.16
  6. Step 6: Final answer
    x = 12,337.77

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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.