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Finding the Fourth Proportional to 2,106.79, 3,160.59 and 645.95

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Solution

The fourth proportional to 2,106.79, 3,160.59 and 645.95 is: 969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.79 : 3,160.59 = 645.95 : x
  2. Step 2: Convert to fraction form
    2,106.79/3,160.59 = 645.95/x
  3. Step 3: Cross multiply
    2,106.79x = 3,160.59 × 645.95
  4. Step 4: Simplify right side
    2,106.79x = 2,041,583.11
  5. Step 5: Solve for x
    x = 2,041,583.11/2,106.79
  6. Step 6: Final answer
    x = 969.05

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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.