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Finding the Fourth Proportional to 7,380.84, 11,028.12 and 7,122.48

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Solution

The fourth proportional to 7,380.84, 11,028.12 and 7,122.48 is: 10,642.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380.84 : 11,028.12 = 7,122.48 : x
  2. Step 2: Convert to fraction form
    7,380.84/11,028.12 = 7,122.48/x
  3. Step 3: Cross multiply
    7,380.84x = 11,028.12 × 7,122.48
  4. Step 4: Simplify right side
    7,380.84x = 78,547,564.14
  5. Step 5: Solve for x
    x = 78,547,564.14/7,380.84
  6. Step 6: Final answer
    x = 10,642.09

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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.