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Finding the Fourth Proportional to 5,202.72, 7,803.90 and 1,307.16

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Solution

The fourth proportional to 5,202.72, 7,803.90 and 1,307.16 is: 1,960.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.72 : 7,803.90 = 1,307.16 : x
  2. Step 2: Convert to fraction form
    5,202.72/7,803.90 = 1,307.16/x
  3. Step 3: Cross multiply
    5,202.72x = 7,803.90 × 1,307.16
  4. Step 4: Simplify right side
    5,202.72x = 10,200,945.92
  5. Step 5: Solve for x
    x = 10,200,945.92/5,202.72
  6. Step 6: Final answer
    x = 1,960.69

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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.