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Finding the Fourth Proportional to 19,543, 26,970.30 and 10,711

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Solution

The fourth proportional to 19,543, 26,970.30 and 10,711 is: 14,781.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,543 : 26,970.30 = 10,711 : x
  2. Step 2: Convert to fraction form
    19,543/26,970.30 = 10,711/x
  3. Step 3: Cross multiply
    19,543x = 26,970.30 × 10,711
  4. Step 4: Simplify right side
    19,543x = 288,878,883.30
  5. Step 5: Solve for x
    x = 288,878,883.30/19,543
  6. Step 6: Final answer
    x = 14,781.71

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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.