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Finding the Fourth Proportional to 12,354.34, 18,509.82 and 10,287.64

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Solution

The fourth proportional to 12,354.34, 18,509.82 and 10,287.64 is: 15,413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354.34 : 18,509.82 = 10,287.64 : x
  2. Step 2: Convert to fraction form
    12,354.34/18,509.82 = 10,287.64/x
  3. Step 3: Cross multiply
    12,354.34x = 18,509.82 × 10,287.64
  4. Step 4: Simplify right side
    12,354.34x = 190,422,364.62
  5. Step 5: Solve for x
    x = 190,422,364.62/12,354.34
  6. Step 6: Final answer
    x = 15,413.40

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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.