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Finding the Fourth Proportional to 6,485.68, 9,720.32 and 3,524

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Solution

The fourth proportional to 6,485.68, 9,720.32 and 3,524 is: 5,281.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.68 : 9,720.32 = 3,524 : x
  2. Step 2: Convert to fraction form
    6,485.68/9,720.32 = 3,524/x
  3. Step 3: Cross multiply
    6,485.68x = 9,720.32 × 3,524
  4. Step 4: Simplify right side
    6,485.68x = 34,254,407.68
  5. Step 5: Solve for x
    x = 34,254,407.68/6,485.68
  6. Step 6: Final answer
    x = 5,281.54

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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.