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Finding the Fourth Proportional to 9,405.70, 12,977.94 and 5,425.78

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Solution

The fourth proportional to 9,405.70, 12,977.94 and 5,425.78 is: 7,486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.70 : 12,977.94 = 5,425.78 : x
  2. Step 2: Convert to fraction form
    9,405.70/12,977.94 = 5,425.78/x
  3. Step 3: Cross multiply
    9,405.70x = 12,977.94 × 5,425.78
  4. Step 4: Simplify right side
    9,405.70x = 70,415,447.29
  5. Step 5: Solve for x
    x = 70,415,447.29/9,405.70
  6. Step 6: Final answer
    x = 7,486.47

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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.