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Finding the Fourth Proportional to 2,106.44, 3,159.53 and 645.47

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Solution

The fourth proportional to 2,106.44, 3,159.53 and 645.47 is: 968.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.44 : 3,159.53 = 645.47 : x
  2. Step 2: Convert to fraction form
    2,106.44/3,159.53 = 645.47/x
  3. Step 3: Cross multiply
    2,106.44x = 3,159.53 × 645.47
  4. Step 4: Simplify right side
    2,106.44x = 2,039,362.80
  5. Step 5: Solve for x
    x = 2,039,362.80/2,106.44
  6. Step 6: Final answer
    x = 968.16

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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.