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Finding the Fourth Proportional to 2,389.33, 3,584 and 928.14

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Solution

The fourth proportional to 2,389.33, 3,584 and 928.14 is: 1,392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.33 : 3,584 = 928.14 : x
  2. Step 2: Convert to fraction form
    2,389.33/3,584 = 928.14/x
  3. Step 3: Cross multiply
    2,389.33x = 3,584 × 928.14
  4. Step 4: Simplify right side
    2,389.33x = 3,326,453.76
  5. Step 5: Solve for x
    x = 3,326,453.76/2,389.33
  6. Step 6: Final answer
    x = 1,392.21

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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.