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Finding the Fourth Proportional to 2,705.47, 4,055.74 and 949.52

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Solution

The fourth proportional to 2,705.47, 4,055.74 and 949.52 is: 1,423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.47 : 4,055.74 = 949.52 : x
  2. Step 2: Convert to fraction form
    2,705.47/4,055.74 = 949.52/x
  3. Step 3: Cross multiply
    2,705.47x = 4,055.74 × 949.52
  4. Step 4: Simplify right side
    2,705.47x = 3,851,006.24
  5. Step 5: Solve for x
    x = 3,851,006.24/2,705.47
  6. Step 6: Final answer
    x = 1,423.41

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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.