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Finding the Fourth Proportional to 18,783.36, 28,182.96 and 9,432

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Solution

The fourth proportional to 18,783.36, 28,182.96 and 9,432 is: 14,151.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,783.36 : 28,182.96 = 9,432 : x
  2. Step 2: Convert to fraction form
    18,783.36/28,182.96 = 9,432/x
  3. Step 3: Cross multiply
    18,783.36x = 28,182.96 × 9,432
  4. Step 4: Simplify right side
    18,783.36x = 265,821,678.72
  5. Step 5: Solve for x
    x = 265,821,678.72/18,783.36
  6. Step 6: Final answer
    x = 14,151.98

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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.