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Finding the Fourth Proportional to 26,985, 37,244.16 and 15,807

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Solution

The fourth proportional to 26,985, 37,244.16 and 15,807 is: 21,816.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,985 : 37,244.16 = 15,807 : x
  2. Step 2: Convert to fraction form
    26,985/37,244.16 = 15,807/x
  3. Step 3: Cross multiply
    26,985x = 37,244.16 × 15,807
  4. Step 4: Simplify right side
    26,985x = 588,718,437.12
  5. Step 5: Solve for x
    x = 588,718,437.12/26,985
  6. Step 6: Final answer
    x = 21,816.51

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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.