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Finding the Fourth Proportional to 31,268.84, 43,148.70 and 19,332.47

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Solution

The fourth proportional to 31,268.84, 43,148.70 and 19,332.47 is: 26,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,268.84 : 43,148.70 = 19,332.47 : x
  2. Step 2: Convert to fraction form
    31,268.84/43,148.70 = 19,332.47/x
  3. Step 3: Cross multiply
    31,268.84x = 43,148.70 × 19,332.47
  4. Step 4: Simplify right side
    31,268.84x = 834,171,056.16
  5. Step 5: Solve for x
    x = 834,171,056.16/31,268.84
  6. Step 6: Final answer
    x = 26,677.39

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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.