Home / 1,634.80-2,256.12-971.68

Finding the Fourth Proportional to 1,634.80, 2,256.12 and 971.68

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Solution

The fourth proportional to 1,634.80, 2,256.12 and 971.68 is: 1,340.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.80 : 2,256.12 = 971.68 : x
  2. Step 2: Convert to fraction form
    1,634.80/2,256.12 = 971.68/x
  3. Step 3: Cross multiply
    1,634.80x = 2,256.12 × 971.68
  4. Step 4: Simplify right side
    1,634.80x = 2,192,226.68
  5. Step 5: Solve for x
    x = 2,192,226.68/1,634.80
  6. Step 6: Final answer
    x = 1,340.98

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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.