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Finding the Fourth Proportional to 14,392, 19,869.60 and 9,432.64

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Solution

The fourth proportional to 14,392, 19,869.60 and 9,432.64 is: 13,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,392 : 19,869.60 = 9,432.64 : x
  2. Step 2: Convert to fraction form
    14,392/19,869.60 = 9,432.64/x
  3. Step 3: Cross multiply
    14,392x = 19,869.60 × 9,432.64
  4. Step 4: Simplify right side
    14,392x = 187,422,783.74
  5. Step 5: Solve for x
    x = 187,422,783.74/14,392
  6. Step 6: Final answer
    x = 13,022.71

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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.