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Finding the Fourth Proportional to 2,486.44, 3,729.18 and 947.08

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Solution

The fourth proportional to 2,486.44, 3,729.18 and 947.08 is: 1,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.44 : 3,729.18 = 947.08 : x
  2. Step 2: Convert to fraction form
    2,486.44/3,729.18 = 947.08/x
  3. Step 3: Cross multiply
    2,486.44x = 3,729.18 × 947.08
  4. Step 4: Simplify right side
    2,486.44x = 3,531,831.79
  5. Step 5: Solve for x
    x = 3,531,831.79/2,486.44
  6. Step 6: Final answer
    x = 1,420.44

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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.