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Finding the Fourth Proportional to 10,751, 14,838 and 6,561.68

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Solution

The fourth proportional to 10,751, 14,838 and 6,561.68 is: 9,056.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751 : 14,838 = 6,561.68 : x
  2. Step 2: Convert to fraction form
    10,751/14,838 = 6,561.68/x
  3. Step 3: Cross multiply
    10,751x = 14,838 × 6,561.68
  4. Step 4: Simplify right side
    10,751x = 97,362,207.84
  5. Step 5: Solve for x
    x = 97,362,207.84/10,751
  6. Step 6: Final answer
    x = 9,056.11

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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.