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Finding the Fourth Proportional to 1,601.70, 2,391.08 and 1,487.49

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Solution

The fourth proportional to 1,601.70, 2,391.08 and 1,487.49 is: 2,220.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.70 : 2,391.08 = 1,487.49 : x
  2. Step 2: Convert to fraction form
    1,601.70/2,391.08 = 1,487.49/x
  3. Step 3: Cross multiply
    1,601.70x = 2,391.08 × 1,487.49
  4. Step 4: Simplify right side
    1,601.70x = 3,556,700.15
  5. Step 5: Solve for x
    x = 3,556,700.15/1,601.70
  6. Step 6: Final answer
    x = 2,220.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.