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Finding the Fourth Proportional to 10,900.82, 15,042.84 and 6,185

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Solution

The fourth proportional to 10,900.82, 15,042.84 and 6,185 is: 8,535.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.82 : 15,042.84 = 6,185 : x
  2. Step 2: Convert to fraction form
    10,900.82/15,042.84 = 6,185/x
  3. Step 3: Cross multiply
    10,900.82x = 15,042.84 × 6,185
  4. Step 4: Simplify right side
    10,900.82x = 93,039,965.40
  5. Step 5: Solve for x
    x = 93,039,965.40/10,900.82
  6. Step 6: Final answer
    x = 8,535.13

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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.