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Finding the Fourth Proportional to 13,929.76, 19,224.72 and 8,340.64

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Solution

The fourth proportional to 13,929.76, 19,224.72 and 8,340.64 is: 11,511.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,929.76 : 19,224.72 = 8,340.64 : x
  2. Step 2: Convert to fraction form
    13,929.76/19,224.72 = 8,340.64/x
  3. Step 3: Cross multiply
    13,929.76x = 19,224.72 × 8,340.64
  4. Step 4: Simplify right side
    13,929.76x = 160,346,468.62
  5. Step 5: Solve for x
    x = 160,346,468.62/13,929.76
  6. Step 6: Final answer
    x = 11,511.07

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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.