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Finding the Fourth Proportional to 14,789, 20,408.88 and 8,074.76

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Solution

The fourth proportional to 14,789, 20,408.88 and 8,074.76 is: 11,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,789 : 20,408.88 = 8,074.76 : x
  2. Step 2: Convert to fraction form
    14,789/20,408.88 = 8,074.76/x
  3. Step 3: Cross multiply
    14,789x = 20,408.88 × 8,074.76
  4. Step 4: Simplify right side
    14,789x = 164,796,807.87
  5. Step 5: Solve for x
    x = 164,796,807.87/14,789
  6. Step 6: Final answer
    x = 11,143.20

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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.