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Finding the Fourth Proportional to 13,458.12, 18,572.22 and 7,570.12

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Solution

The fourth proportional to 13,458.12, 18,572.22 and 7,570.12 is: 10,446.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,458.12 : 18,572.22 = 7,570.12 : x
  2. Step 2: Convert to fraction form
    13,458.12/18,572.22 = 7,570.12/x
  3. Step 3: Cross multiply
    13,458.12x = 18,572.22 × 7,570.12
  4. Step 4: Simplify right side
    13,458.12x = 140,593,934.07
  5. Step 5: Solve for x
    x = 140,593,934.07/13,458.12
  6. Step 6: Final answer
    x = 10,446.77

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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.