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Finding the Fourth Proportional to 2,106.91, 3,160.42 and 646.08

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Solution

The fourth proportional to 2,106.91, 3,160.42 and 646.08 is: 969.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.91 : 3,160.42 = 646.08 : x
  2. Step 2: Convert to fraction form
    2,106.91/3,160.42 = 646.08/x
  3. Step 3: Cross multiply
    2,106.91x = 3,160.42 × 646.08
  4. Step 4: Simplify right side
    2,106.91x = 2,041,870.69
  5. Step 5: Solve for x
    x = 2,041,870.69/2,106.91
  6. Step 6: Final answer
    x = 969.13

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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.