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Finding the Fourth Proportional to 1,584.20, 2,186.74 and 955.08

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Solution

The fourth proportional to 1,584.20, 2,186.74 and 955.08 is: 1,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.20 : 2,186.74 = 955.08 : x
  2. Step 2: Convert to fraction form
    1,584.20/2,186.74 = 955.08/x
  3. Step 3: Cross multiply
    1,584.20x = 2,186.74 × 955.08
  4. Step 4: Simplify right side
    1,584.20x = 2,088,511.64
  5. Step 5: Solve for x
    x = 2,088,511.64/1,584.20
  6. Step 6: Final answer
    x = 1,318.34

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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.