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Finding the Fourth Proportional to 12,295.40, 16,986.17 and 8,056.54

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Solution

The fourth proportional to 12,295.40, 16,986.17 and 8,056.54 is: 11,130.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.40 : 16,986.17 = 8,056.54 : x
  2. Step 2: Convert to fraction form
    12,295.40/16,986.17 = 8,056.54/x
  3. Step 3: Cross multiply
    12,295.40x = 16,986.17 × 8,056.54
  4. Step 4: Simplify right side
    12,295.40x = 136,849,675.30
  5. Step 5: Solve for x
    x = 136,849,675.30/12,295.40
  6. Step 6: Final answer
    x = 11,130.15

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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.