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Finding the Fourth Proportional to 2,485.07, 3,430.16 and 1,600.87

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Solution

The fourth proportional to 2,485.07, 3,430.16 and 1,600.87 is: 2,209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.07 : 3,430.16 = 1,600.87 : x
  2. Step 2: Convert to fraction form
    2,485.07/3,430.16 = 1,600.87/x
  3. Step 3: Cross multiply
    2,485.07x = 3,430.16 × 1,600.87
  4. Step 4: Simplify right side
    2,485.07x = 5,491,240.24
  5. Step 5: Solve for x
    x = 5,491,240.24/2,485.07
  6. Step 6: Final answer
    x = 2,209.69

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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.