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Finding the Fourth Proportional to 8,989.78, 13,484.64 and 2,415.95

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Solution

The fourth proportional to 8,989.78, 13,484.64 and 2,415.95 is: 3,623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,989.78 : 13,484.64 = 2,415.95 : x
  2. Step 2: Convert to fraction form
    8,989.78/13,484.64 = 2,415.95/x
  3. Step 3: Cross multiply
    8,989.78x = 13,484.64 × 2,415.95
  4. Step 4: Simplify right side
    8,989.78x = 32,578,249.72
  5. Step 5: Solve for x
    x = 32,578,249.72/8,989.78
  6. Step 6: Final answer
    x = 3,623.92

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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.