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Finding the Fourth Proportional to 4,704.72, 7,058.78 and 1,783

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Solution

The fourth proportional to 4,704.72, 7,058.78 and 1,783 is: 2,675.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.72 : 7,058.78 = 1,783 : x
  2. Step 2: Convert to fraction form
    4,704.72/7,058.78 = 1,783/x
  3. Step 3: Cross multiply
    4,704.72x = 7,058.78 × 1,783
  4. Step 4: Simplify right side
    4,704.72x = 12,585,804.74
  5. Step 5: Solve for x
    x = 12,585,804.74/4,704.72
  6. Step 6: Final answer
    x = 2,675.14

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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.