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Finding the Fourth Proportional to 2,785.16, 4,203.91 and 2,785.16

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Solution

The fourth proportional to 2,785.16, 4,203.91 and 2,785.16 is: 4,203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.16 : 4,203.91 = 2,785.16 : x
  2. Step 2: Convert to fraction form
    2,785.16/4,203.91 = 2,785.16/x
  3. Step 3: Cross multiply
    2,785.16x = 4,203.91 × 2,785.16
  4. Step 4: Simplify right side
    2,785.16x = 11,708,561.98
  5. Step 5: Solve for x
    x = 11,708,561.98/2,785.16
  6. Step 6: Final answer
    x = 4,203.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.