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Finding the Fourth Proportional to 25,667.96, 38,505.64 and 7,900.14

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Solution

The fourth proportional to 25,667.96, 38,505.64 and 7,900.14 is: 11,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,667.96 : 38,505.64 = 7,900.14 : x
  2. Step 2: Convert to fraction form
    25,667.96/38,505.64 = 7,900.14/x
  3. Step 3: Cross multiply
    25,667.96x = 38,505.64 × 7,900.14
  4. Step 4: Simplify right side
    25,667.96x = 304,199,869.65
  5. Step 5: Solve for x
    x = 304,199,869.65/25,667.96
  6. Step 6: Final answer
    x = 11,851.35

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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.