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Finding the Fourth Proportional to 6,520.84, 9,780.78 and 1,903.24

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Solution

The fourth proportional to 6,520.84, 9,780.78 and 1,903.24 is: 2,854.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.84 : 9,780.78 = 1,903.24 : x
  2. Step 2: Convert to fraction form
    6,520.84/9,780.78 = 1,903.24/x
  3. Step 3: Cross multiply
    6,520.84x = 9,780.78 × 1,903.24
  4. Step 4: Simplify right side
    6,520.84x = 18,615,171.73
  5. Step 5: Solve for x
    x = 18,615,171.73/6,520.84
  6. Step 6: Final answer
    x = 2,854.72

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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.