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Finding the Fourth Proportional to 14,784, 20,405.39 and 9,749.13

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Solution

The fourth proportional to 14,784, 20,405.39 and 9,749.13 is: 13,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784 : 20,405.39 = 9,749.13 : x
  2. Step 2: Convert to fraction form
    14,784/20,405.39 = 9,749.13/x
  3. Step 3: Cross multiply
    14,784x = 20,405.39 × 9,749.13
  4. Step 4: Simplify right side
    14,784x = 198,934,751.07
  5. Step 5: Solve for x
    x = 198,934,751.07/14,784
  6. Step 6: Final answer
    x = 13,456.08

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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.