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Finding the Fourth Proportional to 1,535.70, 2,119.60 and 1,064.60

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Solution

The fourth proportional to 1,535.70, 2,119.60 and 1,064.60 is: 1,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.70 : 2,119.60 = 1,064.60 : x
  2. Step 2: Convert to fraction form
    1,535.70/2,119.60 = 1,064.60/x
  3. Step 3: Cross multiply
    1,535.70x = 2,119.60 × 1,064.60
  4. Step 4: Simplify right side
    1,535.70x = 2,256,526.16
  5. Step 5: Solve for x
    x = 2,256,526.16/1,535.70
  6. Step 6: Final answer
    x = 1,469.38

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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.