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Finding the Fourth Proportional to 9,492.80, 13,004.92 and 9,137.85

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Solution

The fourth proportional to 9,492.80, 13,004.92 and 9,137.85 is: 12,518.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.80 : 13,004.92 = 9,137.85 : x
  2. Step 2: Convert to fraction form
    9,492.80/13,004.92 = 9,137.85/x
  3. Step 3: Cross multiply
    9,492.80x = 13,004.92 × 9,137.85
  4. Step 4: Simplify right side
    9,492.80x = 118,837,008.22
  5. Step 5: Solve for x
    x = 118,837,008.22/9,492.80
  6. Step 6: Final answer
    x = 12,518.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.