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Finding the Fourth Proportional to 7,563.78, 10,437.57 and 4,206.42

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Solution

The fourth proportional to 7,563.78, 10,437.57 and 4,206.42 is: 5,804.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.78 : 10,437.57 = 4,206.42 : x
  2. Step 2: Convert to fraction form
    7,563.78/10,437.57 = 4,206.42/x
  3. Step 3: Cross multiply
    7,563.78x = 10,437.57 × 4,206.42
  4. Step 4: Simplify right side
    7,563.78x = 43,904,803.20
  5. Step 5: Solve for x
    x = 43,904,803.20/7,563.78
  6. Step 6: Final answer
    x = 5,804.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.