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Finding the Fourth Proportional to 2,620.94, 3,931.42 and 772.07

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Solution

The fourth proportional to 2,620.94, 3,931.42 and 772.07 is: 1,158.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.94 : 3,931.42 = 772.07 : x
  2. Step 2: Convert to fraction form
    2,620.94/3,931.42 = 772.07/x
  3. Step 3: Cross multiply
    2,620.94x = 3,931.42 × 772.07
  4. Step 4: Simplify right side
    2,620.94x = 3,035,339.34
  5. Step 5: Solve for x
    x = 3,035,339.34/2,620.94
  6. Step 6: Final answer
    x = 1,158.11

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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.