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Finding the Fourth Proportional to 1,405.52, 1,955.14 and 1,378.80

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Solution

The fourth proportional to 1,405.52, 1,955.14 and 1,378.80 is: 1,917.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.52 : 1,955.14 = 1,378.80 : x
  2. Step 2: Convert to fraction form
    1,405.52/1,955.14 = 1,378.80/x
  3. Step 3: Cross multiply
    1,405.52x = 1,955.14 × 1,378.80
  4. Step 4: Simplify right side
    1,405.52x = 2,695,747.03
  5. Step 5: Solve for x
    x = 2,695,747.03/1,405.52
  6. Step 6: Final answer
    x = 1,917.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.