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Finding the Fourth Proportional to 25,507.16, 38,245.74 and 13,019

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Solution

The fourth proportional to 25,507.16, 38,245.74 and 13,019 is: 19,520.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,507.16 : 38,245.74 = 13,019 : x
  2. Step 2: Convert to fraction form
    25,507.16/38,245.74 = 13,019/x
  3. Step 3: Cross multiply
    25,507.16x = 38,245.74 × 13,019
  4. Step 4: Simplify right side
    25,507.16x = 497,921,289.06
  5. Step 5: Solve for x
    x = 497,921,289.06/25,507.16
  6. Step 6: Final answer
    x = 19,520.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.