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Finding the Fourth Proportional to 1,322.40, 1,826.12 and 1,062.32

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Solution

The fourth proportional to 1,322.40, 1,826.12 and 1,062.32 is: 1,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.40 : 1,826.12 = 1,062.32 : x
  2. Step 2: Convert to fraction form
    1,322.40/1,826.12 = 1,062.32/x
  3. Step 3: Cross multiply
    1,322.40x = 1,826.12 × 1,062.32
  4. Step 4: Simplify right side
    1,322.40x = 1,939,923.80
  5. Step 5: Solve for x
    x = 1,939,923.80/1,322.40
  6. Step 6: Final answer
    x = 1,466.97

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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.