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Finding the Fourth Proportional to 14,533.80, 21,805.62 and 7,138.44

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Solution

The fourth proportional to 14,533.80, 21,805.62 and 7,138.44 is: 10,710.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,533.80 : 21,805.62 = 7,138.44 : x
  2. Step 2: Convert to fraction form
    14,533.80/21,805.62 = 7,138.44/x
  3. Step 3: Cross multiply
    14,533.80x = 21,805.62 × 7,138.44
  4. Step 4: Simplify right side
    14,533.80x = 155,658,110.03
  5. Step 5: Solve for x
    x = 155,658,110.03/14,533.80
  6. Step 6: Final answer
    x = 10,710.08

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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.