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Finding the Fourth Proportional to 14,604, 20,170.80 and 9,880.08

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Solution

The fourth proportional to 14,604, 20,170.80 and 9,880.08 is: 13,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,604 : 20,170.80 = 9,880.08 : x
  2. Step 2: Convert to fraction form
    14,604/20,170.80 = 9,880.08/x
  3. Step 3: Cross multiply
    14,604x = 20,170.80 × 9,880.08
  4. Step 4: Simplify right side
    14,604x = 199,289,117.66
  5. Step 5: Solve for x
    x = 199,289,117.66/14,604
  6. Step 6: Final answer
    x = 13,646.20

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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.