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Finding the Fourth Proportional to 13,137.70, 18,130.02 and 8,421.98

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Solution

The fourth proportional to 13,137.70, 18,130.02 and 8,421.98 is: 11,622.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137.70 : 18,130.02 = 8,421.98 : x
  2. Step 2: Convert to fraction form
    13,137.70/18,130.02 = 8,421.98/x
  3. Step 3: Cross multiply
    13,137.70x = 18,130.02 × 8,421.98
  4. Step 4: Simplify right side
    13,137.70x = 152,690,665.84
  5. Step 5: Solve for x
    x = 152,690,665.84/13,137.70
  6. Step 6: Final answer
    x = 11,622.33

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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.