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Finding the Fourth Proportional to 2,656.22, 3,984.87 and 926.06

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Solution

The fourth proportional to 2,656.22, 3,984.87 and 926.06 is: 1,389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.22 : 3,984.87 = 926.06 : x
  2. Step 2: Convert to fraction form
    2,656.22/3,984.87 = 926.06/x
  3. Step 3: Cross multiply
    2,656.22x = 3,984.87 × 926.06
  4. Step 4: Simplify right side
    2,656.22x = 3,690,228.71
  5. Step 5: Solve for x
    x = 3,690,228.71/2,656.22
  6. Step 6: Final answer
    x = 1,389.28

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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.