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Finding the Fourth Proportional to 6,510.86, 9,765.05 and 3,175.76

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Solution

The fourth proportional to 6,510.86, 9,765.05 and 3,175.76 is: 4,763.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.86 : 9,765.05 = 3,175.76 : x
  2. Step 2: Convert to fraction form
    6,510.86/9,765.05 = 3,175.76/x
  3. Step 3: Cross multiply
    6,510.86x = 9,765.05 × 3,175.76
  4. Step 4: Simplify right side
    6,510.86x = 31,011,390.48
  5. Step 5: Solve for x
    x = 31,011,390.48/6,510.86
  6. Step 6: Final answer
    x = 4,763.03

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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.