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Finding the Fourth Proportional to 19,306, 26,642.28 and 10,474

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Solution

The fourth proportional to 19,306, 26,642.28 and 10,474 is: 14,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,306 : 26,642.28 = 10,474 : x
  2. Step 2: Convert to fraction form
    19,306/26,642.28 = 10,474/x
  3. Step 3: Cross multiply
    19,306x = 26,642.28 × 10,474
  4. Step 4: Simplify right side
    19,306x = 279,051,240.72
  5. Step 5: Solve for x
    x = 279,051,240.72/19,306
  6. Step 6: Final answer
    x = 14,454.12

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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.