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Finding the Fourth Proportional to 1,628.80, 2,276 and 1,628.80

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Solution

The fourth proportional to 1,628.80, 2,276 and 1,628.80 is: 2,276

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.80 : 2,276 = 1,628.80 : x
  2. Step 2: Convert to fraction form
    1,628.80/2,276 = 1,628.80/x
  3. Step 3: Cross multiply
    1,628.80x = 2,276 × 1,628.80
  4. Step 4: Simplify right side
    1,628.80x = 3,707,148.80
  5. Step 5: Solve for x
    x = 3,707,148.80/1,628.80
  6. Step 6: Final answer
    x = 2,276

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.