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Finding the Fourth Proportional to 12,909.81, 17,821.44 and 9,924.60

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Solution

The fourth proportional to 12,909.81, 17,821.44 and 9,924.60 is: 13,700.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909.81 : 17,821.44 = 9,924.60 : x
  2. Step 2: Convert to fraction form
    12,909.81/17,821.44 = 9,924.60/x
  3. Step 3: Cross multiply
    12,909.81x = 17,821.44 × 9,924.60
  4. Step 4: Simplify right side
    12,909.81x = 176,870,663.42
  5. Step 5: Solve for x
    x = 176,870,663.42/12,909.81
  6. Step 6: Final answer
    x = 13,700.49

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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.