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Finding the Fourth Proportional to 2,106.23, 3,159.03 and 644.99

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Solution

The fourth proportional to 2,106.23, 3,159.03 and 644.99 is: 967.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.23 : 3,159.03 = 644.99 : x
  2. Step 2: Convert to fraction form
    2,106.23/3,159.03 = 644.99/x
  3. Step 3: Cross multiply
    2,106.23x = 3,159.03 × 644.99
  4. Step 4: Simplify right side
    2,106.23x = 2,037,542.76
  5. Step 5: Solve for x
    x = 2,037,542.76/2,106.23
  6. Step 6: Final answer
    x = 967.39

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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.