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Finding the Fourth Proportional to 8,107.57, 12,154.06 and 5,643.55

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Solution

The fourth proportional to 8,107.57, 12,154.06 and 5,643.55 is: 8,460.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.57 : 12,154.06 = 5,643.55 : x
  2. Step 2: Convert to fraction form
    8,107.57/12,154.06 = 5,643.55/x
  3. Step 3: Cross multiply
    8,107.57x = 12,154.06 × 5,643.55
  4. Step 4: Simplify right side
    8,107.57x = 68,592,045.31
  5. Step 5: Solve for x
    x = 68,592,045.31/8,107.57
  6. Step 6: Final answer
    x = 8,460.25

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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.