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Finding the Fourth Proportional to 1,605.65, 2,213.21 and 1,605.65

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Solution

The fourth proportional to 1,605.65, 2,213.21 and 1,605.65 is: 2,213.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.65 : 2,213.21 = 1,605.65 : x
  2. Step 2: Convert to fraction form
    1,605.65/2,213.21 = 1,605.65/x
  3. Step 3: Cross multiply
    1,605.65x = 2,213.21 × 1,605.65
  4. Step 4: Simplify right side
    1,605.65x = 3,553,632.61
  5. Step 5: Solve for x
    x = 3,553,632.61/1,605.65
  6. Step 6: Final answer
    x = 2,213.21

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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.