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Finding the Fourth Proportional to 10,664.69, 16,002.63 and 7,564.68

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Solution

The fourth proportional to 10,664.69, 16,002.63 and 7,564.68 is: 11,350.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,664.69 : 16,002.63 = 7,564.68 : x
  2. Step 2: Convert to fraction form
    10,664.69/16,002.63 = 7,564.68/x
  3. Step 3: Cross multiply
    10,664.69x = 16,002.63 × 7,564.68
  4. Step 4: Simplify right side
    10,664.69x = 121,054,775.11
  5. Step 5: Solve for x
    x = 121,054,775.11/10,664.69
  6. Step 6: Final answer
    x = 11,350.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.