Home / 1,187.56-1,639.74-926.20

Finding the Fourth Proportional to 1,187.56, 1,639.74 and 926.20

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Solution

The fourth proportional to 1,187.56, 1,639.74 and 926.20 is: 1,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.56 : 1,639.74 = 926.20 : x
  2. Step 2: Convert to fraction form
    1,187.56/1,639.74 = 926.20/x
  3. Step 3: Cross multiply
    1,187.56x = 1,639.74 × 926.20
  4. Step 4: Simplify right side
    1,187.56x = 1,518,727.19
  5. Step 5: Solve for x
    x = 1,518,727.19/1,187.56
  6. Step 6: Final answer
    x = 1,278.86

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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.