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Finding the Fourth Proportional to 19,754.82, 27,253.44 and 12,946.98

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Solution

The fourth proportional to 19,754.82, 27,253.44 and 12,946.98 is: 17,861.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,754.82 : 27,253.44 = 12,946.98 : x
  2. Step 2: Convert to fraction form
    19,754.82/27,253.44 = 12,946.98/x
  3. Step 3: Cross multiply
    19,754.82x = 27,253.44 × 12,946.98
  4. Step 4: Simplify right side
    19,754.82x = 352,849,742.61
  5. Step 5: Solve for x
    x = 352,849,742.61/19,754.82
  6. Step 6: Final answer
    x = 17,861.45

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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.