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Finding the Fourth Proportional to 4,190, 5,780.08 and 2,420.52

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Solution

The fourth proportional to 4,190, 5,780.08 and 2,420.52 is: 3,339.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190 : 5,780.08 = 2,420.52 : x
  2. Step 2: Convert to fraction form
    4,190/5,780.08 = 2,420.52/x
  3. Step 3: Cross multiply
    4,190x = 5,780.08 × 2,420.52
  4. Step 4: Simplify right side
    4,190x = 13,990,799.24
  5. Step 5: Solve for x
    x = 13,990,799.24/4,190
  6. Step 6: Final answer
    x = 3,339.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.