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Finding the Fourth Proportional to 19,371, 26,731.98 and 10,539

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Solution

The fourth proportional to 19,371, 26,731.98 and 10,539 is: 14,543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,371 : 26,731.98 = 10,539 : x
  2. Step 2: Convert to fraction form
    19,371/26,731.98 = 10,539/x
  3. Step 3: Cross multiply
    19,371x = 26,731.98 × 10,539
  4. Step 4: Simplify right side
    19,371x = 281,728,337.22
  5. Step 5: Solve for x
    x = 281,728,337.22/19,371
  6. Step 6: Final answer
    x = 14,543.82

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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.