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Finding the Fourth Proportional to 8,402.94, 12,534.35 and 8,114.99

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Solution

The fourth proportional to 8,402.94, 12,534.35 and 8,114.99 is: 12,104.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.94 : 12,534.35 = 8,114.99 : x
  2. Step 2: Convert to fraction form
    8,402.94/12,534.35 = 8,114.99/x
  3. Step 3: Cross multiply
    8,402.94x = 12,534.35 × 8,114.99
  4. Step 4: Simplify right side
    8,402.94x = 101,716,021.66
  5. Step 5: Solve for x
    x = 101,716,021.66/8,402.94
  6. Step 6: Final answer
    x = 12,104.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.