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Finding the Fourth Proportional to 4,809.78, 7,215.95 and 1,522.94

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Solution

The fourth proportional to 4,809.78, 7,215.95 and 1,522.94 is: 2,284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.78 : 7,215.95 = 1,522.94 : x
  2. Step 2: Convert to fraction form
    4,809.78/7,215.95 = 1,522.94/x
  3. Step 3: Cross multiply
    4,809.78x = 7,215.95 × 1,522.94
  4. Step 4: Simplify right side
    4,809.78x = 10,989,458.89
  5. Step 5: Solve for x
    x = 10,989,458.89/4,809.78
  6. Step 6: Final answer
    x = 2,284.82

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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.