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Finding the Fourth Proportional to 30,827.40, 42,530.40 and 22,780.44

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Solution

The fourth proportional to 30,827.40, 42,530.40 and 22,780.44 is: 31,428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,827.40 : 42,530.40 = 22,780.44 : x
  2. Step 2: Convert to fraction form
    30,827.40/42,530.40 = 22,780.44/x
  3. Step 3: Cross multiply
    30,827.40x = 42,530.40 × 22,780.44
  4. Step 4: Simplify right side
    30,827.40x = 968,861,225.38
  5. Step 5: Solve for x
    x = 968,861,225.38/30,827.40
  6. Step 6: Final answer
    x = 31,428.57

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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.