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Finding the Fourth Proportional to 18,776, 28,164 and 4,925

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Solution

The fourth proportional to 18,776, 28,164 and 4,925 is: 7,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,776 : 28,164 = 4,925 : x
  2. Step 2: Convert to fraction form
    18,776/28,164 = 4,925/x
  3. Step 3: Cross multiply
    18,776x = 28,164 × 4,925
  4. Step 4: Simplify right side
    18,776x = 138,707,700
  5. Step 5: Solve for x
    x = 138,707,700/18,776
  6. Step 6: Final answer
    x = 7,387.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.