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Finding the Fourth Proportional to 19,897.52, 29,847.10 and 8,209.64

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Solution

The fourth proportional to 19,897.52, 29,847.10 and 8,209.64 is: 12,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,897.52 : 29,847.10 = 8,209.64 : x
  2. Step 2: Convert to fraction form
    19,897.52/29,847.10 = 8,209.64/x
  3. Step 3: Cross multiply
    19,897.52x = 29,847.10 × 8,209.64
  4. Step 4: Simplify right side
    19,897.52x = 245,033,946.04
  5. Step 5: Solve for x
    x = 245,033,946.04/19,897.52
  6. Step 6: Final answer
    x = 12,314.80

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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.