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Finding the Fourth Proportional to 9,875.52, 13,628.46 and 5,399.46

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Solution

The fourth proportional to 9,875.52, 13,628.46 and 5,399.46 is: 7,451.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.52 : 13,628.46 = 5,399.46 : x
  2. Step 2: Convert to fraction form
    9,875.52/13,628.46 = 5,399.46/x
  3. Step 3: Cross multiply
    9,875.52x = 13,628.46 × 5,399.46
  4. Step 4: Simplify right side
    9,875.52x = 73,586,324.63
  5. Step 5: Solve for x
    x = 73,586,324.63/9,875.52
  6. Step 6: Final answer
    x = 7,451.39

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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.