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Finding the Fourth Proportional to 2,070.66, 3,106.43 and 609.69

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Solution

The fourth proportional to 2,070.66, 3,106.43 and 609.69 is: 914.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.66 : 3,106.43 = 609.69 : x
  2. Step 2: Convert to fraction form
    2,070.66/3,106.43 = 609.69/x
  3. Step 3: Cross multiply
    2,070.66x = 3,106.43 × 609.69
  4. Step 4: Simplify right side
    2,070.66x = 1,893,959.31
  5. Step 5: Solve for x
    x = 1,893,959.31/2,070.66
  6. Step 6: Final answer
    x = 914.66

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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.