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Finding the Fourth Proportional to 17,442.78, 24,070.50 and 9,889.80

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Solution

The fourth proportional to 17,442.78, 24,070.50 and 9,889.80 is: 13,647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,442.78 : 24,070.50 = 9,889.80 : x
  2. Step 2: Convert to fraction form
    17,442.78/24,070.50 = 9,889.80/x
  3. Step 3: Cross multiply
    17,442.78x = 24,070.50 × 9,889.80
  4. Step 4: Simplify right side
    17,442.78x = 238,052,340.64
  5. Step 5: Solve for x
    x = 238,052,340.64/17,442.78
  6. Step 6: Final answer
    x = 13,647.62

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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.