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Finding the Fourth Proportional to 9,482.50, 13,042.11 and 8,301.52

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Solution

The fourth proportional to 9,482.50, 13,042.11 and 8,301.52 is: 11,417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.50 : 13,042.11 = 8,301.52 : x
  2. Step 2: Convert to fraction form
    9,482.50/13,042.11 = 8,301.52/x
  3. Step 3: Cross multiply
    9,482.50x = 13,042.11 × 8,301.52
  4. Step 4: Simplify right side
    9,482.50x = 108,269,337.01
  5. Step 5: Solve for x
    x = 108,269,337.01/9,482.50
  6. Step 6: Final answer
    x = 11,417.81

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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.