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Finding the Fourth Proportional to 19,706.16, 27,185.81 and 13,330.47

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Solution

The fourth proportional to 19,706.16, 27,185.81 and 13,330.47 is: 18,390.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.16 : 27,185.81 = 13,330.47 : x
  2. Step 2: Convert to fraction form
    19,706.16/27,185.81 = 13,330.47/x
  3. Step 3: Cross multiply
    19,706.16x = 27,185.81 × 13,330.47
  4. Step 4: Simplify right side
    19,706.16x = 362,399,557.98
  5. Step 5: Solve for x
    x = 362,399,557.98/19,706.16
  6. Step 6: Final answer
    x = 18,390.17

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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.