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Finding the Fourth Proportional to 13,912.76, 19,200.95 and 7,944.89

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Solution

The fourth proportional to 13,912.76, 19,200.95 and 7,944.89 is: 10,964.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.76 : 19,200.95 = 7,944.89 : x
  2. Step 2: Convert to fraction form
    13,912.76/19,200.95 = 7,944.89/x
  3. Step 3: Cross multiply
    13,912.76x = 19,200.95 × 7,944.89
  4. Step 4: Simplify right side
    13,912.76x = 152,549,329.71
  5. Step 5: Solve for x
    x = 152,549,329.71/13,912.76
  6. Step 6: Final answer
    x = 10,964.70

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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.