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Finding the Fourth Proportional to 31,875.68, 43,992.98 and 19,946.00

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Solution

The fourth proportional to 31,875.68, 43,992.98 and 19,946.00 is: 27,528.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,875.68 : 43,992.98 = 19,946.00 : x
  2. Step 2: Convert to fraction form
    31,875.68/43,992.98 = 19,946.00/x
  3. Step 3: Cross multiply
    31,875.68x = 43,992.98 × 19,946.00
  4. Step 4: Simplify right side
    31,875.68x = 877,483,659.39
  5. Step 5: Solve for x
    x = 877,483,659.39/31,875.68
  6. Step 6: Final answer
    x = 27,528.32

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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.