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Finding the Fourth Proportional to 18,164.55, 25,064.84 and 10,509.14

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Solution

The fourth proportional to 18,164.55, 25,064.84 and 10,509.14 is: 14,501.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,164.55 : 25,064.84 = 10,509.14 : x
  2. Step 2: Convert to fraction form
    18,164.55/25,064.84 = 10,509.14/x
  3. Step 3: Cross multiply
    18,164.55x = 25,064.84 × 10,509.14
  4. Step 4: Simplify right side
    18,164.55x = 263,410,001.57
  5. Step 5: Solve for x
    x = 263,410,001.57/18,164.55
  6. Step 6: Final answer
    x = 14,501.32

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Half scale
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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.