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Finding the Fourth Proportional to 18,925.76, 28,392.76 and 5,777.78

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Solution

The fourth proportional to 18,925.76, 28,392.76 and 5,777.78 is: 8,667.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,925.76 : 28,392.76 = 5,777.78 : x
  2. Step 2: Convert to fraction form
    18,925.76/28,392.76 = 5,777.78/x
  3. Step 3: Cross multiply
    18,925.76x = 28,392.76 × 5,777.78
  4. Step 4: Simplify right side
    18,925.76x = 164,047,120.87
  5. Step 5: Solve for x
    x = 164,047,120.87/18,925.76
  6. Step 6: Final answer
    x = 8,667.93

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1.5x scale

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.