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Finding the Fourth Proportional to 15,733, 21,713.70 and 10,142.92

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Solution

The fourth proportional to 15,733, 21,713.70 and 10,142.92 is: 13,998.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,733 : 21,713.70 = 10,142.92 : x
  2. Step 2: Convert to fraction form
    15,733/21,713.70 = 10,142.92/x
  3. Step 3: Cross multiply
    15,733x = 21,713.70 × 10,142.92
  4. Step 4: Simplify right side
    15,733x = 220,240,322.00
  5. Step 5: Solve for x
    x = 220,240,322.00/15,733
  6. Step 6: Final answer
    x = 13,998.62

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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.