Home / 1,206.12-1,662.78-972.84

Finding the Fourth Proportional to 1,206.12, 1,662.78 and 972.84

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Solution

The fourth proportional to 1,206.12, 1,662.78 and 972.84 is: 1,341.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.12 : 1,662.78 = 972.84 : x
  2. Step 2: Convert to fraction form
    1,206.12/1,662.78 = 972.84/x
  3. Step 3: Cross multiply
    1,206.12x = 1,662.78 × 972.84
  4. Step 4: Simplify right side
    1,206.12x = 1,617,618.90
  5. Step 5: Solve for x
    x = 1,617,618.90/1,206.12
  6. Step 6: Final answer
    x = 1,341.18

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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.