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Finding the Fourth Proportional to 8,573, 11,830.74 and 4,847.72

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Solution

The fourth proportional to 8,573, 11,830.74 and 4,847.72 is: 6,689.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,573 : 11,830.74 = 4,847.72 : x
  2. Step 2: Convert to fraction form
    8,573/11,830.74 = 4,847.72/x
  3. Step 3: Cross multiply
    8,573x = 11,830.74 × 4,847.72
  4. Step 4: Simplify right side
    8,573x = 57,352,114.91
  5. Step 5: Solve for x
    x = 57,352,114.91/8,573
  6. Step 6: Final answer
    x = 6,689.85

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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.