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Finding the Fourth Proportional to 1,535.90, 2,119.66 and 906.33

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Solution

The fourth proportional to 1,535.90, 2,119.66 and 906.33 is: 1,250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.90 : 2,119.66 = 906.33 : x
  2. Step 2: Convert to fraction form
    1,535.90/2,119.66 = 906.33/x
  3. Step 3: Cross multiply
    1,535.90x = 2,119.66 × 906.33
  4. Step 4: Simplify right side
    1,535.90x = 1,921,109.18
  5. Step 5: Solve for x
    x = 1,921,109.18/1,535.90
  6. Step 6: Final answer
    x = 1,250.80

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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.