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Finding the Fourth Proportional to 2,430.70, 3,646.41 and 949.63

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Solution

The fourth proportional to 2,430.70, 3,646.41 and 949.63 is: 1,424.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.70 : 3,646.41 = 949.63 : x
  2. Step 2: Convert to fraction form
    2,430.70/3,646.41 = 949.63/x
  3. Step 3: Cross multiply
    2,430.70x = 3,646.41 × 949.63
  4. Step 4: Simplify right side
    2,430.70x = 3,462,740.33
  5. Step 5: Solve for x
    x = 3,462,740.33/2,430.70
  6. Step 6: Final answer
    x = 1,424.59

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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.