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Finding the Fourth Proportional to 8,649.30, 12,973.51 and 2,409.67

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Solution

The fourth proportional to 8,649.30, 12,973.51 and 2,409.67 is: 3,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.30 : 12,973.51 = 2,409.67 : x
  2. Step 2: Convert to fraction form
    8,649.30/12,973.51 = 2,409.67/x
  3. Step 3: Cross multiply
    8,649.30x = 12,973.51 × 2,409.67
  4. Step 4: Simplify right side
    8,649.30x = 31,261,877.84
  5. Step 5: Solve for x
    x = 31,261,877.84/8,649.30
  6. Step 6: Final answer
    x = 3,614.38

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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.