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Finding the Fourth Proportional to 19,403, 26,776.14 and 10,571

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Solution

The fourth proportional to 19,403, 26,776.14 and 10,571 is: 14,587.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,403 : 26,776.14 = 10,571 : x
  2. Step 2: Convert to fraction form
    19,403/26,776.14 = 10,571/x
  3. Step 3: Cross multiply
    19,403x = 26,776.14 × 10,571
  4. Step 4: Simplify right side
    19,403x = 283,050,575.94
  5. Step 5: Solve for x
    x = 283,050,575.94/19,403
  6. Step 6: Final answer
    x = 14,587.98

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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.