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Finding the Fourth Proportional to 2,389.76, 3,585.99 and 928.71

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Solution

The fourth proportional to 2,389.76, 3,585.99 and 928.71 is: 1,393.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.76 : 3,585.99 = 928.71 : x
  2. Step 2: Convert to fraction form
    2,389.76/3,585.99 = 928.71/x
  3. Step 3: Cross multiply
    2,389.76x = 3,585.99 × 928.71
  4. Step 4: Simplify right side
    2,389.76x = 3,330,344.77
  5. Step 5: Solve for x
    x = 3,330,344.77/2,389.76
  6. Step 6: Final answer
    x = 1,393.59

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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.