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Finding the Fourth Proportional to 10,866.48, 16,308 and 5,322.96

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Solution

The fourth proportional to 10,866.48, 16,308 and 5,322.96 is: 7,988.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.48 : 16,308 = 5,322.96 : x
  2. Step 2: Convert to fraction form
    10,866.48/16,308 = 5,322.96/x
  3. Step 3: Cross multiply
    10,866.48x = 16,308 × 5,322.96
  4. Step 4: Simplify right side
    10,866.48x = 86,806,831.68
  5. Step 5: Solve for x
    x = 86,806,831.68/10,866.48
  6. Step 6: Final answer
    x = 7,988.50

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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.