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Finding the Fourth Proportional to 2,387.19, 3,578.28 and 804.72

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Solution

The fourth proportional to 2,387.19, 3,578.28 and 804.72 is: 1,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.19 : 3,578.28 = 804.72 : x
  2. Step 2: Convert to fraction form
    2,387.19/3,578.28 = 804.72/x
  3. Step 3: Cross multiply
    2,387.19x = 3,578.28 × 804.72
  4. Step 4: Simplify right side
    2,387.19x = 2,879,526.90
  5. Step 5: Solve for x
    x = 2,879,526.90/2,387.19
  6. Step 6: Final answer
    x = 1,206.24

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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.