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Finding the Fourth Proportional to 2,009.85, 3,015.78 and 970.74

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Solution

The fourth proportional to 2,009.85, 3,015.78 and 970.74 is: 1,456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.85 : 3,015.78 = 970.74 : x
  2. Step 2: Convert to fraction form
    2,009.85/3,015.78 = 970.74/x
  3. Step 3: Cross multiply
    2,009.85x = 3,015.78 × 970.74
  4. Step 4: Simplify right side
    2,009.85x = 2,927,538.28
  5. Step 5: Solve for x
    x = 2,927,538.28/2,009.85
  6. Step 6: Final answer
    x = 1,456.60

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1.5x scale

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.