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Finding the Fourth Proportional to 30,964, 42,731.94 and 18,217.84

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Solution

The fourth proportional to 30,964, 42,731.94 and 18,217.84 is: 25,141.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,964 : 42,731.94 = 18,217.84 : x
  2. Step 2: Convert to fraction form
    30,964/42,731.94 = 18,217.84/x
  3. Step 3: Cross multiply
    30,964x = 42,731.94 × 18,217.84
  4. Step 4: Simplify right side
    30,964x = 778,483,645.81
  5. Step 5: Solve for x
    x = 778,483,645.81/30,964
  6. Step 6: Final answer
    x = 25,141.57

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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.