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Finding the Fourth Proportional to 19,300.80, 28,956.66 and 9,947.64

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Solution

The fourth proportional to 19,300.80, 28,956.66 and 9,947.64 is: 14,924.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,300.80 : 28,956.66 = 9,947.64 : x
  2. Step 2: Convert to fraction form
    19,300.80/28,956.66 = 9,947.64/x
  3. Step 3: Cross multiply
    19,300.80x = 28,956.66 × 9,947.64
  4. Step 4: Simplify right side
    19,300.80x = 288,050,429.28
  5. Step 5: Solve for x
    x = 288,050,429.28/19,300.80
  6. Step 6: Final answer
    x = 14,924.27

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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.