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Finding the Fourth Proportional to 12,647.97, 17,411.34 and 10,869.21

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Solution

The fourth proportional to 12,647.97, 17,411.34 and 10,869.21 is: 14,962.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.97 : 17,411.34 = 10,869.21 : x
  2. Step 2: Convert to fraction form
    12,647.97/17,411.34 = 10,869.21/x
  3. Step 3: Cross multiply
    12,647.97x = 17,411.34 × 10,869.21
  4. Step 4: Simplify right side
    12,647.97x = 189,247,510.84
  5. Step 5: Solve for x
    x = 189,247,510.84/12,647.97
  6. Step 6: Final answer
    x = 14,962.68

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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.