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Finding the Fourth Proportional to 2,445.40, 3,669.26 and 985.56

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Solution

The fourth proportional to 2,445.40, 3,669.26 and 985.56 is: 1,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.40 : 3,669.26 = 985.56 : x
  2. Step 2: Convert to fraction form
    2,445.40/3,669.26 = 985.56/x
  3. Step 3: Cross multiply
    2,445.40x = 3,669.26 × 985.56
  4. Step 4: Simplify right side
    2,445.40x = 3,616,275.89
  5. Step 5: Solve for x
    x = 3,616,275.89/2,445.40
  6. Step 6: Final answer
    x = 1,478.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.