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Finding the Fourth Proportional to 14,489.42, 21,698.48 and 7,069.95

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Solution

The fourth proportional to 14,489.42, 21,698.48 and 7,069.95 is: 10,587.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489.42 : 21,698.48 = 7,069.95 : x
  2. Step 2: Convert to fraction form
    14,489.42/21,698.48 = 7,069.95/x
  3. Step 3: Cross multiply
    14,489.42x = 21,698.48 × 7,069.95
  4. Step 4: Simplify right side
    14,489.42x = 153,407,186.35
  5. Step 5: Solve for x
    x = 153,407,186.35/14,489.42
  6. Step 6: Final answer
    x = 10,587.53

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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.