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Finding the Fourth Proportional to 5,717, 7,892.70 and 4,317.32

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Solution

The fourth proportional to 5,717, 7,892.70 and 4,317.32 is: 5,960.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717 : 7,892.70 = 4,317.32 : x
  2. Step 2: Convert to fraction form
    5,717/7,892.70 = 4,317.32/x
  3. Step 3: Cross multiply
    5,717x = 7,892.70 × 4,317.32
  4. Step 4: Simplify right side
    5,717x = 34,075,311.56
  5. Step 5: Solve for x
    x = 34,075,311.56/5,717
  6. Step 6: Final answer
    x = 5,960.35

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.