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Finding the Fourth Proportional to 6,512.31, 9,765.57 and 3,549.86

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Solution

The fourth proportional to 6,512.31, 9,765.57 and 3,549.86 is: 5,323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.31 : 9,765.57 = 3,549.86 : x
  2. Step 2: Convert to fraction form
    6,512.31/9,765.57 = 3,549.86/x
  3. Step 3: Cross multiply
    6,512.31x = 9,765.57 × 3,549.86
  4. Step 4: Simplify right side
    6,512.31x = 34,666,406.32
  5. Step 5: Solve for x
    x = 34,666,406.32/6,512.31
  6. Step 6: Final answer
    x = 5,323.21

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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.