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Finding the Fourth Proportional to 38,465.40, 57,762.90 and 25,375.80

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Solution

The fourth proportional to 38,465.40, 57,762.90 and 25,375.80 is: 38,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,465.40 : 57,762.90 = 25,375.80 : x
  2. Step 2: Convert to fraction form
    38,465.40/57,762.90 = 25,375.80/x
  3. Step 3: Cross multiply
    38,465.40x = 57,762.90 × 25,375.80
  4. Step 4: Simplify right side
    38,465.40x = 1,465,779,797.82
  5. Step 5: Solve for x
    x = 1,465,779,797.82/38,465.40
  6. Step 6: Final answer
    x = 38,106.45

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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.