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Finding the Fourth Proportional to 2,910.70, 4,016.70 and 1,584.40

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Solution

The fourth proportional to 2,910.70, 4,016.70 and 1,584.40 is: 2,186.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.70 : 4,016.70 = 1,584.40 : x
  2. Step 2: Convert to fraction form
    2,910.70/4,016.70 = 1,584.40/x
  3. Step 3: Cross multiply
    2,910.70x = 4,016.70 × 1,584.40
  4. Step 4: Simplify right side
    2,910.70x = 6,364,059.48
  5. Step 5: Solve for x
    x = 6,364,059.48/2,910.70
  6. Step 6: Final answer
    x = 2,186.44

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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.