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Finding the Fourth Proportional to 1,555.35, 2,145.74 and 965.48

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Solution

The fourth proportional to 1,555.35, 2,145.74 and 965.48 is: 1,331.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.35 : 2,145.74 = 965.48 : x
  2. Step 2: Convert to fraction form
    1,555.35/2,145.74 = 965.48/x
  3. Step 3: Cross multiply
    1,555.35x = 2,145.74 × 965.48
  4. Step 4: Simplify right side
    1,555.35x = 2,071,653.50
  5. Step 5: Solve for x
    x = 2,071,653.50/1,555.35
  6. Step 6: Final answer
    x = 1,331.95

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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.