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Finding the Fourth Proportional to 11,748, 16,212.48 and 7,558.56

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Solution

The fourth proportional to 11,748, 16,212.48 and 7,558.56 is: 10,430.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748 : 16,212.48 = 7,558.56 : x
  2. Step 2: Convert to fraction form
    11,748/16,212.48 = 7,558.56/x
  3. Step 3: Cross multiply
    11,748x = 16,212.48 × 7,558.56
  4. Step 4: Simplify right side
    11,748x = 122,543,002.83
  5. Step 5: Solve for x
    x = 122,543,002.83/11,748
  6. Step 6: Final answer
    x = 10,430.97

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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.