Home / 2,970.38-4,100.64-1,909.74

Finding the Fourth Proportional to 2,970.38, 4,100.64 and 1,909.74

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Solution

The fourth proportional to 2,970.38, 4,100.64 and 1,909.74 is: 2,636.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.38 : 4,100.64 = 1,909.74 : x
  2. Step 2: Convert to fraction form
    2,970.38/4,100.64 = 1,909.74/x
  3. Step 3: Cross multiply
    2,970.38x = 4,100.64 × 1,909.74
  4. Step 4: Simplify right side
    2,970.38x = 7,831,156.23
  5. Step 5: Solve for x
    x = 7,831,156.23/2,970.38
  6. Step 6: Final answer
    x = 2,636.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.