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Finding the Fourth Proportional to 13,311.16, 18,369.50 and 7,343

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Solution

The fourth proportional to 13,311.16, 18,369.50 and 7,343 is: 10,133.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,311.16 : 18,369.50 = 7,343 : x
  2. Step 2: Convert to fraction form
    13,311.16/18,369.50 = 7,343/x
  3. Step 3: Cross multiply
    13,311.16x = 18,369.50 × 7,343
  4. Step 4: Simplify right side
    13,311.16x = 134,887,238.50
  5. Step 5: Solve for x
    x = 134,887,238.50/13,311.16
  6. Step 6: Final answer
    x = 10,133.39

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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.