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Finding the Fourth Proportional to 27,946.60, 42,006.30 and 27,428.20

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Solution

The fourth proportional to 27,946.60, 42,006.30 and 27,428.20 is: 41,227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,946.60 : 42,006.30 = 27,428.20 : x
  2. Step 2: Convert to fraction form
    27,946.60/42,006.30 = 27,428.20/x
  3. Step 3: Cross multiply
    27,946.60x = 42,006.30 × 27,428.20
  4. Step 4: Simplify right side
    27,946.60x = 1,152,157,197.66
  5. Step 5: Solve for x
    x = 1,152,157,197.66/27,946.60
  6. Step 6: Final answer
    x = 41,227.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.