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Finding the Fourth Proportional to 19,776.21, 27,290.70 and 10,823.70

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Solution

The fourth proportional to 19,776.21, 27,290.70 and 10,823.70 is: 14,936.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,776.21 : 27,290.70 = 10,823.70 : x
  2. Step 2: Convert to fraction form
    19,776.21/27,290.70 = 10,823.70/x
  3. Step 3: Cross multiply
    19,776.21x = 27,290.70 × 10,823.70
  4. Step 4: Simplify right side
    19,776.21x = 295,386,349.59
  5. Step 5: Solve for x
    x = 295,386,349.59/19,776.21
  6. Step 6: Final answer
    x = 14,936.45

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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.