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Finding the Fourth Proportional to 10,872.63, 14,989.95 and 7,845.21

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Solution

The fourth proportional to 10,872.63, 14,989.95 and 7,845.21 is: 10,816.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.63 : 14,989.95 = 7,845.21 : x
  2. Step 2: Convert to fraction form
    10,872.63/14,989.95 = 7,845.21/x
  3. Step 3: Cross multiply
    10,872.63x = 14,989.95 × 7,845.21
  4. Step 4: Simplify right side
    10,872.63x = 117,599,305.64
  5. Step 5: Solve for x
    x = 117,599,305.64/10,872.63
  6. Step 6: Final answer
    x = 10,816.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.