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Finding the Fourth Proportional to 25,443.75, 38,165.70 and 7,913.60

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Solution

The fourth proportional to 25,443.75, 38,165.70 and 7,913.60 is: 11,870.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,443.75 : 38,165.70 = 7,913.60 : x
  2. Step 2: Convert to fraction form
    25,443.75/38,165.70 = 7,913.60/x
  3. Step 3: Cross multiply
    25,443.75x = 38,165.70 × 7,913.60
  4. Step 4: Simplify right side
    25,443.75x = 302,027,892.69
  5. Step 5: Solve for x
    x = 302,027,892.69/25,443.75
  6. Step 6: Final answer
    x = 11,870.42

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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.