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Finding the Fourth Proportional to 6,509.57, 9,765.90 and 2,127.02

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Solution

The fourth proportional to 6,509.57, 9,765.90 and 2,127.02 is: 3,191.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.57 : 9,765.90 = 2,127.02 : x
  2. Step 2: Convert to fraction form
    6,509.57/9,765.90 = 2,127.02/x
  3. Step 3: Cross multiply
    6,509.57x = 9,765.90 × 2,127.02
  4. Step 4: Simplify right side
    6,509.57x = 20,772,264.62
  5. Step 5: Solve for x
    x = 20,772,264.62/6,509.57
  6. Step 6: Final answer
    x = 3,191.03

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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.