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Finding the Fourth Proportional to 32,784, 45,243.36 and 17,880

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Solution

The fourth proportional to 32,784, 45,243.36 and 17,880 is: 24,675.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,784 : 45,243.36 = 17,880 : x
  2. Step 2: Convert to fraction form
    32,784/45,243.36 = 17,880/x
  3. Step 3: Cross multiply
    32,784x = 45,243.36 × 17,880
  4. Step 4: Simplify right side
    32,784x = 808,951,276.80
  5. Step 5: Solve for x
    x = 808,951,276.80/32,784
  6. Step 6: Final answer
    x = 24,675.19

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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.