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Finding the Fourth Proportional to 19,359, 26,715.42 and 10,975.50

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Solution

The fourth proportional to 19,359, 26,715.42 and 10,975.50 is: 15,146.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,359 : 26,715.42 = 10,975.50 : x
  2. Step 2: Convert to fraction form
    19,359/26,715.42 = 10,975.50/x
  3. Step 3: Cross multiply
    19,359x = 26,715.42 × 10,975.50
  4. Step 4: Simplify right side
    19,359x = 293,215,092.21
  5. Step 5: Solve for x
    x = 293,215,092.21/19,359
  6. Step 6: Final answer
    x = 15,146.19

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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.