Home / 1,645.12-2,270.51-946.36

Finding the Fourth Proportional to 1,645.12, 2,270.51 and 946.36

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Solution

The fourth proportional to 1,645.12, 2,270.51 and 946.36 is: 1,306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.12 : 2,270.51 = 946.36 : x
  2. Step 2: Convert to fraction form
    1,645.12/2,270.51 = 946.36/x
  3. Step 3: Cross multiply
    1,645.12x = 2,270.51 × 946.36
  4. Step 4: Simplify right side
    1,645.12x = 2,148,719.84
  5. Step 5: Solve for x
    x = 2,148,719.84/1,645.12
  6. Step 6: Final answer
    x = 1,306.12

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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.