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Finding the Fourth Proportional to 13,675.88, 18,875.94 and 8,705

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Solution

The fourth proportional to 13,675.88, 18,875.94 and 8,705 is: 12,014.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.88 : 18,875.94 = 8,705 : x
  2. Step 2: Convert to fraction form
    13,675.88/18,875.94 = 8,705/x
  3. Step 3: Cross multiply
    13,675.88x = 18,875.94 × 8,705
  4. Step 4: Simplify right side
    13,675.88x = 164,315,057.70
  5. Step 5: Solve for x
    x = 164,315,057.70/13,675.88
  6. Step 6: Final answer
    x = 12,014.95

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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.