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Finding the Fourth Proportional to 2,370, 3,556.41 and 909.24

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Solution

The fourth proportional to 2,370, 3,556.41 and 909.24 is: 1,364.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370 : 3,556.41 = 909.24 : x
  2. Step 2: Convert to fraction form
    2,370/3,556.41 = 909.24/x
  3. Step 3: Cross multiply
    2,370x = 3,556.41 × 909.24
  4. Step 4: Simplify right side
    2,370x = 3,233,630.23
  5. Step 5: Solve for x
    x = 3,233,630.23/2,370
  6. Step 6: Final answer
    x = 1,364.40

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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.