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Finding the Fourth Proportional to 28,442.31, 42,668.54 and 9,724.43

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Solution

The fourth proportional to 28,442.31, 42,668.54 and 9,724.43 is: 14,588.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,442.31 : 42,668.54 = 9,724.43 : x
  2. Step 2: Convert to fraction form
    28,442.31/42,668.54 = 9,724.43/x
  3. Step 3: Cross multiply
    28,442.31x = 42,668.54 × 9,724.43
  4. Step 4: Simplify right side
    28,442.31x = 414,926,968.47
  5. Step 5: Solve for x
    x = 414,926,968.47/28,442.31
  6. Step 6: Final answer
    x = 14,588.37

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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.