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Finding the Fourth Proportional to 14,784, 20,402.40 and 8,160

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Solution

The fourth proportional to 14,784, 20,402.40 and 8,160 is: 11,261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784 : 20,402.40 = 8,160 : x
  2. Step 2: Convert to fraction form
    14,784/20,402.40 = 8,160/x
  3. Step 3: Cross multiply
    14,784x = 20,402.40 × 8,160
  4. Step 4: Simplify right side
    14,784x = 166,483,584
  5. Step 5: Solve for x
    x = 166,483,584/14,784
  6. Step 6: Final answer
    x = 11,261.06

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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.