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Finding the Fourth Proportional to 6,936, 10,405.12 and 2,320.08

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Solution

The fourth proportional to 6,936, 10,405.12 and 2,320.08 is: 3,480.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,936 : 10,405.12 = 2,320.08 : x
  2. Step 2: Convert to fraction form
    6,936/10,405.12 = 2,320.08/x
  3. Step 3: Cross multiply
    6,936x = 10,405.12 × 2,320.08
  4. Step 4: Simplify right side
    6,936x = 24,140,710.81
  5. Step 5: Solve for x
    x = 24,140,710.81/6,936
  6. Step 6: Final answer
    x = 3,480.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.