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Finding the Fourth Proportional to 1,786.32, 2,663.64 and 1,667.16

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Solution

The fourth proportional to 1,786.32, 2,663.64 and 1,667.16 is: 2,485.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.32 : 2,663.64 = 1,667.16 : x
  2. Step 2: Convert to fraction form
    1,786.32/2,663.64 = 1,667.16/x
  3. Step 3: Cross multiply
    1,786.32x = 2,663.64 × 1,667.16
  4. Step 4: Simplify right side
    1,786.32x = 4,440,714.06
  5. Step 5: Solve for x
    x = 4,440,714.06/1,786.32
  6. Step 6: Final answer
    x = 2,485.96

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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.