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Finding the Fourth Proportional to 14,509.78, 20,029.62 and 9,800.44

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Solution

The fourth proportional to 14,509.78, 20,029.62 and 9,800.44 is: 13,528.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.78 : 20,029.62 = 9,800.44 : x
  2. Step 2: Convert to fraction form
    14,509.78/20,029.62 = 9,800.44/x
  3. Step 3: Cross multiply
    14,509.78x = 20,029.62 × 9,800.44
  4. Step 4: Simplify right side
    14,509.78x = 196,299,089.03
  5. Step 5: Solve for x
    x = 196,299,089.03/14,509.78
  6. Step 6: Final answer
    x = 13,528.74

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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.