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Finding the Fourth Proportional to 5,286.40, 7,930.29 and 1,774.90

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Solution

The fourth proportional to 5,286.40, 7,930.29 and 1,774.90 is: 2,662.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.40 : 7,930.29 = 1,774.90 : x
  2. Step 2: Convert to fraction form
    5,286.40/7,930.29 = 1,774.90/x
  3. Step 3: Cross multiply
    5,286.40x = 7,930.29 × 1,774.90
  4. Step 4: Simplify right side
    5,286.40x = 14,075,463.41
  5. Step 5: Solve for x
    x = 14,075,463.41/5,286.40
  6. Step 6: Final answer
    x = 2,662.58

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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.