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Finding the Fourth Proportional to 11,425.68, 15,774.32 and 7,453.68

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Solution

The fourth proportional to 11,425.68, 15,774.32 and 7,453.68 is: 10,290.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,425.68 : 15,774.32 = 7,453.68 : x
  2. Step 2: Convert to fraction form
    11,425.68/15,774.32 = 7,453.68/x
  3. Step 3: Cross multiply
    11,425.68x = 15,774.32 × 7,453.68
  4. Step 4: Simplify right side
    11,425.68x = 117,576,733.50
  5. Step 5: Solve for x
    x = 117,576,733.50/11,425.68
  6. Step 6: Final answer
    x = 10,290.57

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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.