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Finding the Fourth Proportional to 14,319.57, 19,760.98 and 7,947.14

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Solution

The fourth proportional to 14,319.57, 19,760.98 and 7,947.14 is: 10,967.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,319.57 : 19,760.98 = 7,947.14 : x
  2. Step 2: Convert to fraction form
    14,319.57/19,760.98 = 7,947.14/x
  3. Step 3: Cross multiply
    14,319.57x = 19,760.98 × 7,947.14
  4. Step 4: Simplify right side
    14,319.57x = 157,043,274.60
  5. Step 5: Solve for x
    x = 157,043,274.60/14,319.57
  6. Step 6: Final answer
    x = 10,967.04

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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.