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Finding the Fourth Proportional to 13,886.76, 19,164.26 and 7,919.40

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Solution

The fourth proportional to 13,886.76, 19,164.26 and 7,919.40 is: 10,929.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.76 : 19,164.26 = 7,919.40 : x
  2. Step 2: Convert to fraction form
    13,886.76/19,164.26 = 7,919.40/x
  3. Step 3: Cross multiply
    13,886.76x = 19,164.26 × 7,919.40
  4. Step 4: Simplify right side
    13,886.76x = 151,769,440.64
  5. Step 5: Solve for x
    x = 151,769,440.64/13,886.76
  6. Step 6: Final answer
    x = 10,929.07

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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.