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Finding the Fourth Proportional to 10,571.76, 15,875.64 and 8,814.96

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Solution

The fourth proportional to 10,571.76, 15,875.64 and 8,814.96 is: 13,237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.76 : 15,875.64 = 8,814.96 : x
  2. Step 2: Convert to fraction form
    10,571.76/15,875.64 = 8,814.96/x
  3. Step 3: Cross multiply
    10,571.76x = 15,875.64 × 8,814.96
  4. Step 4: Simplify right side
    10,571.76x = 139,943,131.57
  5. Step 5: Solve for x
    x = 139,943,131.57/10,571.76
  6. Step 6: Final answer
    x = 13,237.45

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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.