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Finding the Fourth Proportional to 26,948, 37,197.96 and 15,770

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Solution

The fourth proportional to 26,948, 37,197.96 and 15,770 is: 21,768.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,948 : 37,197.96 = 15,770 : x
  2. Step 2: Convert to fraction form
    26,948/37,197.96 = 15,770/x
  3. Step 3: Cross multiply
    26,948x = 37,197.96 × 15,770
  4. Step 4: Simplify right side
    26,948x = 586,611,829.20
  5. Step 5: Solve for x
    x = 586,611,829.20/26,948
  6. Step 6: Final answer
    x = 21,768.29

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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.