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Finding the Fourth Proportional to 18,892.50, 26,071.65 and 10,509

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Solution

The fourth proportional to 18,892.50, 26,071.65 and 10,509 is: 14,502.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,892.50 : 26,071.65 = 10,509 : x
  2. Step 2: Convert to fraction form
    18,892.50/26,071.65 = 10,509/x
  3. Step 3: Cross multiply
    18,892.50x = 26,071.65 × 10,509
  4. Step 4: Simplify right side
    18,892.50x = 273,986,969.85
  5. Step 5: Solve for x
    x = 273,986,969.85/18,892.50
  6. Step 6: Final answer
    x = 14,502.42

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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.