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Finding the Fourth Proportional to 9,420.84, 14,115.24 and 6,942.24

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Solution

The fourth proportional to 9,420.84, 14,115.24 and 6,942.24 is: 10,401.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.84 : 14,115.24 = 6,942.24 : x
  2. Step 2: Convert to fraction form
    9,420.84/14,115.24 = 6,942.24/x
  3. Step 3: Cross multiply
    9,420.84x = 14,115.24 × 6,942.24
  4. Step 4: Simplify right side
    9,420.84x = 97,991,383.74
  5. Step 5: Solve for x
    x = 97,991,383.74/9,420.84
  6. Step 6: Final answer
    x = 10,401.55

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1.5x scale

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.