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Finding the Fourth Proportional to 2,657.45, 3,986.18 and 926.07

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Solution

The fourth proportional to 2,657.45, 3,986.18 and 926.07 is: 1,389.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.45 : 3,986.18 = 926.07 : x
  2. Step 2: Convert to fraction form
    2,657.45/3,986.18 = 926.07/x
  3. Step 3: Cross multiply
    2,657.45x = 3,986.18 × 926.07
  4. Step 4: Simplify right side
    2,657.45x = 3,691,477.08
  5. Step 5: Solve for x
    x = 3,691,477.08/2,657.45
  6. Step 6: Final answer
    x = 1,389.11

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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.