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Finding the Fourth Proportional to 19,205.21, 28,798.63 and 9,849.71

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Solution

The fourth proportional to 19,205.21, 28,798.63 and 9,849.71 is: 14,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,205.21 : 28,798.63 = 9,849.71 : x
  2. Step 2: Convert to fraction form
    19,205.21/28,798.63 = 9,849.71/x
  3. Step 3: Cross multiply
    19,205.21x = 28,798.63 × 9,849.71
  4. Step 4: Simplify right side
    19,205.21x = 283,658,153.90
  5. Step 5: Solve for x
    x = 283,658,153.90/19,205.21
  6. Step 6: Final answer
    x = 14,769.85

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1.5x scale

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.