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Finding the Fourth Proportional to 4,783.78, 7,170.09 and 2,009.89

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Solution

The fourth proportional to 4,783.78, 7,170.09 and 2,009.89 is: 3,012.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.78 : 7,170.09 = 2,009.89 : x
  2. Step 2: Convert to fraction form
    4,783.78/7,170.09 = 2,009.89/x
  3. Step 3: Cross multiply
    4,783.78x = 7,170.09 × 2,009.89
  4. Step 4: Simplify right side
    4,783.78x = 14,411,092.19
  5. Step 5: Solve for x
    x = 14,411,092.19/4,783.78
  6. Step 6: Final answer
    x = 3,012.49

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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.