Home / 1,288.72-1,934.34-924.16

Finding the Fourth Proportional to 1,288.72, 1,934.34 and 924.16

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Solution

The fourth proportional to 1,288.72, 1,934.34 and 924.16 is: 1,387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.72 : 1,934.34 = 924.16 : x
  2. Step 2: Convert to fraction form
    1,288.72/1,934.34 = 924.16/x
  3. Step 3: Cross multiply
    1,288.72x = 1,934.34 × 924.16
  4. Step 4: Simplify right side
    1,288.72x = 1,787,639.65
  5. Step 5: Solve for x
    x = 1,787,639.65/1,288.72
  6. Step 6: Final answer
    x = 1,387.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.