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Finding the Fourth Proportional to 14,609.79, 20,178.14 and 9,821.42

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Solution

The fourth proportional to 14,609.79, 20,178.14 and 9,821.42 is: 13,564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609.79 : 20,178.14 = 9,821.42 : x
  2. Step 2: Convert to fraction form
    14,609.79/20,178.14 = 9,821.42/x
  3. Step 3: Cross multiply
    14,609.79x = 20,178.14 × 9,821.42
  4. Step 4: Simplify right side
    14,609.79x = 198,177,987.76
  5. Step 5: Solve for x
    x = 198,177,987.76/14,609.79
  6. Step 6: Final answer
    x = 13,564.74

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1.5x scale

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.