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Finding the Fourth Proportional to 10,185, 14,055.29 and 6,206.13

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Solution

The fourth proportional to 10,185, 14,055.29 and 6,206.13 is: 8,564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185 : 14,055.29 = 6,206.13 : x
  2. Step 2: Convert to fraction form
    10,185/14,055.29 = 6,206.13/x
  3. Step 3: Cross multiply
    10,185x = 14,055.29 × 6,206.13
  4. Step 4: Simplify right side
    10,185x = 87,228,972.44
  5. Step 5: Solve for x
    x = 87,228,972.44/10,185
  6. Step 6: Final answer
    x = 8,564.45

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Double scale
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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.