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Finding the Fourth Proportional to 8,661.47, 12,989.63 and 2,419.98

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Solution

The fourth proportional to 8,661.47, 12,989.63 and 2,419.98 is: 3,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661.47 : 12,989.63 = 2,419.98 : x
  2. Step 2: Convert to fraction form
    8,661.47/12,989.63 = 2,419.98/x
  3. Step 3: Cross multiply
    8,661.47x = 12,989.63 × 2,419.98
  4. Step 4: Simplify right side
    8,661.47x = 31,434,602.15
  5. Step 5: Solve for x
    x = 31,434,602.15/8,661.47
  6. Step 6: Final answer
    x = 3,629.25

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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.