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Finding the Fourth Proportional to 2,980.90, 4,117.65 and 2,290.90

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Solution

The fourth proportional to 2,980.90, 4,117.65 and 2,290.90 is: 3,164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.90 : 4,117.65 = 2,290.90 : x
  2. Step 2: Convert to fraction form
    2,980.90/4,117.65 = 2,290.90/x
  3. Step 3: Cross multiply
    2,980.90x = 4,117.65 × 2,290.90
  4. Step 4: Simplify right side
    2,980.90x = 9,433,124.39
  5. Step 5: Solve for x
    x = 9,433,124.39/2,980.90
  6. Step 6: Final answer
    x = 3,164.52

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1.5x scale

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.