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Finding the Fourth Proportional to 1,910.70, 2,853.02 and 1,686.47

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Solution

The fourth proportional to 1,910.70, 2,853.02 and 1,686.47 is: 2,518.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.70 : 2,853.02 = 1,686.47 : x
  2. Step 2: Convert to fraction form
    1,910.70/2,853.02 = 1,686.47/x
  3. Step 3: Cross multiply
    1,910.70x = 2,853.02 × 1,686.47
  4. Step 4: Simplify right side
    1,910.70x = 4,811,522.59
  5. Step 5: Solve for x
    x = 4,811,522.59/1,910.70
  6. Step 6: Final answer
    x = 2,518.20

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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.