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Finding the Fourth Proportional to 13,951.76, 19,253.56 and 7,664.28

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Solution

The fourth proportional to 13,951.76, 19,253.56 and 7,664.28 is: 10,576.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,951.76 : 19,253.56 = 7,664.28 : x
  2. Step 2: Convert to fraction form
    13,951.76/19,253.56 = 7,664.28/x
  3. Step 3: Cross multiply
    13,951.76x = 19,253.56 × 7,664.28
  4. Step 4: Simplify right side
    13,951.76x = 147,564,674.84
  5. Step 5: Solve for x
    x = 147,564,674.84/13,951.76
  6. Step 6: Final answer
    x = 10,576.78

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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.