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Finding the Fourth Proportional to 2,379.47, 3,569.85 and 993.45

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Solution

The fourth proportional to 2,379.47, 3,569.85 and 993.45 is: 1,490.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.47 : 3,569.85 = 993.45 : x
  2. Step 2: Convert to fraction form
    2,379.47/3,569.85 = 993.45/x
  3. Step 3: Cross multiply
    2,379.47x = 3,569.85 × 993.45
  4. Step 4: Simplify right side
    2,379.47x = 3,546,467.48
  5. Step 5: Solve for x
    x = 3,546,467.48/2,379.47
  6. Step 6: Final answer
    x = 1,490.45

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1.5x scale

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.