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Finding the Fourth Proportional to 7,784.84, 10,745.46 and 4,801.60

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Solution

The fourth proportional to 7,784.84, 10,745.46 and 4,801.60 is: 6,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.84 : 10,745.46 = 4,801.60 : x
  2. Step 2: Convert to fraction form
    7,784.84/10,745.46 = 4,801.60/x
  3. Step 3: Cross multiply
    7,784.84x = 10,745.46 × 4,801.60
  4. Step 4: Simplify right side
    7,784.84x = 51,595,400.74
  5. Step 5: Solve for x
    x = 51,595,400.74/7,784.84
  6. Step 6: Final answer
    x = 6,627.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.