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Finding the Fourth Proportional to 12,894.76, 19,344.88 and 4,009.86

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Solution

The fourth proportional to 12,894.76, 19,344.88 and 4,009.86 is: 6,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.76 : 19,344.88 = 4,009.86 : x
  2. Step 2: Convert to fraction form
    12,894.76/19,344.88 = 4,009.86/x
  3. Step 3: Cross multiply
    12,894.76x = 19,344.88 × 4,009.86
  4. Step 4: Simplify right side
    12,894.76x = 77,570,260.52
  5. Step 5: Solve for x
    x = 77,570,260.52/12,894.76
  6. Step 6: Final answer
    x = 6,015.64

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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.