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Finding the Fourth Proportional to 19,689.50, 27,171.51 and 10,857.50

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Solution

The fourth proportional to 19,689.50, 27,171.51 and 10,857.50 is: 14,983.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,689.50 : 27,171.51 = 10,857.50 : x
  2. Step 2: Convert to fraction form
    19,689.50/27,171.51 = 10,857.50/x
  3. Step 3: Cross multiply
    19,689.50x = 27,171.51 × 10,857.50
  4. Step 4: Simplify right side
    19,689.50x = 295,014,669.83
  5. Step 5: Solve for x
    x = 295,014,669.83/19,689.50
  6. Step 6: Final answer
    x = 14,983.35

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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.