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Finding the Fourth Proportional to 9,907.28, 13,669.64 and 5,491.28

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Solution

The fourth proportional to 9,907.28, 13,669.64 and 5,491.28 is: 7,576.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.28 : 13,669.64 = 5,491.28 : x
  2. Step 2: Convert to fraction form
    9,907.28/13,669.64 = 5,491.28/x
  3. Step 3: Cross multiply
    9,907.28x = 13,669.64 × 5,491.28
  4. Step 4: Simplify right side
    9,907.28x = 75,063,820.74
  5. Step 5: Solve for x
    x = 75,063,820.74/9,907.28
  6. Step 6: Final answer
    x = 7,576.63

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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.