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Finding the Fourth Proportional to 12,811.80, 17,692.86 and 10,581

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Solution

The fourth proportional to 12,811.80, 17,692.86 and 10,581 is: 14,612.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.80 : 17,692.86 = 10,581 : x
  2. Step 2: Convert to fraction form
    12,811.80/17,692.86 = 10,581/x
  3. Step 3: Cross multiply
    12,811.80x = 17,692.86 × 10,581
  4. Step 4: Simplify right side
    12,811.80x = 187,208,151.66
  5. Step 5: Solve for x
    x = 187,208,151.66/12,811.80
  6. Step 6: Final answer
    x = 14,612.17

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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.