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Finding the Fourth Proportional to 2,070.47, 3,106.38 and 609.64

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Solution

The fourth proportional to 2,070.47, 3,106.38 and 609.64 is: 914.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.47 : 3,106.38 = 609.64 : x
  2. Step 2: Convert to fraction form
    2,070.47/3,106.38 = 609.64/x
  3. Step 3: Cross multiply
    2,070.47x = 3,106.38 × 609.64
  4. Step 4: Simplify right side
    2,070.47x = 1,893,773.50
  5. Step 5: Solve for x
    x = 1,893,773.50/2,070.47
  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.