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Finding the Fourth Proportional to 5,697, 7,857.54 and 3,931.56

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Solution

The fourth proportional to 5,697, 7,857.54 and 3,931.56 is: 5,422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697 : 7,857.54 = 3,931.56 : x
  2. Step 2: Convert to fraction form
    5,697/7,857.54 = 3,931.56/x
  3. Step 3: Cross multiply
    5,697x = 7,857.54 × 3,931.56
  4. Step 4: Simplify right side
    5,697x = 30,892,389.96
  5. Step 5: Solve for x
    x = 30,892,389.96/5,697
  6. Step 6: Final answer
    x = 5,422.57

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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.