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Finding the Fourth Proportional to 13,460.12, 18,574.98 and 7,572.12

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Solution

The fourth proportional to 13,460.12, 18,574.98 and 7,572.12 is: 10,449.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.12 : 18,574.98 = 7,572.12 : x
  2. Step 2: Convert to fraction form
    13,460.12/18,574.98 = 7,572.12/x
  3. Step 3: Cross multiply
    13,460.12x = 18,574.98 × 7,572.12
  4. Step 4: Simplify right side
    13,460.12x = 140,651,977.56
  5. Step 5: Solve for x
    x = 140,651,977.56/13,460.12
  6. Step 6: Final answer
    x = 10,449.53

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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.