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Finding the Fourth Proportional to 13,964.60, 20,946.90 and 6,566.60

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Solution

The fourth proportional to 13,964.60, 20,946.90 and 6,566.60 is: 9,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,964.60 : 20,946.90 = 6,566.60 : x
  2. Step 2: Convert to fraction form
    13,964.60/20,946.90 = 6,566.60/x
  3. Step 3: Cross multiply
    13,964.60x = 20,946.90 × 6,566.60
  4. Step 4: Simplify right side
    13,964.60x = 137,549,913.54
  5. Step 5: Solve for x
    x = 137,549,913.54/13,964.60
  6. Step 6: Final answer
    x = 9,849.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.