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Finding the Fourth Proportional to 1,749.83, 2,622.27 and 970.19

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Solution

The fourth proportional to 1,749.83, 2,622.27 and 970.19 is: 1,453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.83 : 2,622.27 = 970.19 : x
  2. Step 2: Convert to fraction form
    1,749.83/2,622.27 = 970.19/x
  3. Step 3: Cross multiply
    1,749.83x = 2,622.27 × 970.19
  4. Step 4: Simplify right side
    1,749.83x = 2,544,100.13
  5. Step 5: Solve for x
    x = 2,544,100.13/1,749.83
  6. Step 6: Final answer
    x = 1,453.91

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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.