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Finding the Fourth Proportional to 6,222.42, 9,335.11 and 1,780.15

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Solution

The fourth proportional to 6,222.42, 9,335.11 and 1,780.15 is: 2,670.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.42 : 9,335.11 = 1,780.15 : x
  2. Step 2: Convert to fraction form
    6,222.42/9,335.11 = 1,780.15/x
  3. Step 3: Cross multiply
    6,222.42x = 9,335.11 × 1,780.15
  4. Step 4: Simplify right side
    6,222.42x = 16,617,896.07
  5. Step 5: Solve for x
    x = 16,617,896.07/6,222.42
  6. Step 6: Final answer
    x = 2,670.65

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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.