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Finding the Fourth Proportional to 19,434, 26,818.96 and 10,602

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Solution

The fourth proportional to 19,434, 26,818.96 and 10,602 is: 14,630.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,434 : 26,818.96 = 10,602 : x
  2. Step 2: Convert to fraction form
    19,434/26,818.96 = 10,602/x
  3. Step 3: Cross multiply
    19,434x = 26,818.96 × 10,602
  4. Step 4: Simplify right side
    19,434x = 284,334,613.92
  5. Step 5: Solve for x
    x = 284,334,613.92/19,434
  6. Step 6: Final answer
    x = 14,630.78

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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.