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Finding the Fourth Proportional to 9,137.80, 13,692.12 and 8,894.80

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Solution

The fourth proportional to 9,137.80, 13,692.12 and 8,894.80 is: 13,328.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.80 : 13,692.12 = 8,894.80 : x
  2. Step 2: Convert to fraction form
    9,137.80/13,692.12 = 8,894.80/x
  3. Step 3: Cross multiply
    9,137.80x = 13,692.12 × 8,894.80
  4. Step 4: Simplify right side
    9,137.80x = 121,788,668.98
  5. Step 5: Solve for x
    x = 121,788,668.98/9,137.80
  6. Step 6: Final answer
    x = 13,328.01

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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.