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Finding the Fourth Proportional to 13,645.65, 20,468.46 and 6,140.43

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Solution

The fourth proportional to 13,645.65, 20,468.46 and 6,140.43 is: 9,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.65 : 20,468.46 = 6,140.43 : x
  2. Step 2: Convert to fraction form
    13,645.65/20,468.46 = 6,140.43/x
  3. Step 3: Cross multiply
    13,645.65x = 20,468.46 × 6,140.43
  4. Step 4: Simplify right side
    13,645.65x = 125,685,226.43
  5. Step 5: Solve for x
    x = 125,685,226.43/13,645.65
  6. Step 6: Final answer
    x = 9,210.65

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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.