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Finding the Fourth Proportional to 25,371, 38,045.78 and 7,604.18

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Solution

The fourth proportional to 25,371, 38,045.78 and 7,604.18 is: 11,403.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,371 : 38,045.78 = 7,604.18 : x
  2. Step 2: Convert to fraction form
    25,371/38,045.78 = 7,604.18/x
  3. Step 3: Cross multiply
    25,371x = 38,045.78 × 7,604.18
  4. Step 4: Simplify right side
    25,371x = 289,306,959.36
  5. Step 5: Solve for x
    x = 289,306,959.36/25,371
  6. Step 6: Final answer
    x = 11,403.06

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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.