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Finding the Fourth Proportional to 7,821.77, 11,715.44 and 7,390.44

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Solution

The fourth proportional to 7,821.77, 11,715.44 and 7,390.44 is: 11,069.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.77 : 11,715.44 = 7,390.44 : x
  2. Step 2: Convert to fraction form
    7,821.77/11,715.44 = 7,390.44/x
  3. Step 3: Cross multiply
    7,821.77x = 11,715.44 × 7,390.44
  4. Step 4: Simplify right side
    7,821.77x = 86,582,219.44
  5. Step 5: Solve for x
    x = 86,582,219.44/7,821.77
  6. Step 6: Final answer
    x = 11,069.40

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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.