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Finding the Fourth Proportional to 13,047.50, 18,006.10 and 7,458.50

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Solution

The fourth proportional to 13,047.50, 18,006.10 and 7,458.50 is: 10,293.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.50 : 18,006.10 = 7,458.50 : x
  2. Step 2: Convert to fraction form
    13,047.50/18,006.10 = 7,458.50/x
  3. Step 3: Cross multiply
    13,047.50x = 18,006.10 × 7,458.50
  4. Step 4: Simplify right side
    13,047.50x = 134,298,496.85
  5. Step 5: Solve for x
    x = 134,298,496.85/13,047.50
  6. Step 6: Final answer
    x = 10,293.04

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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.