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Finding the Fourth Proportional to 25,148, 37,723.82 and 7,619.20

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Solution

The fourth proportional to 25,148, 37,723.82 and 7,619.20 is: 11,429.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,148 : 37,723.82 = 7,619.20 : x
  2. Step 2: Convert to fraction form
    25,148/37,723.82 = 7,619.20/x
  3. Step 3: Cross multiply
    25,148x = 37,723.82 × 7,619.20
  4. Step 4: Simplify right side
    25,148x = 287,425,329.34
  5. Step 5: Solve for x
    x = 287,425,329.34/25,148
  6. Step 6: Final answer
    x = 11,429.35

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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.