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Finding the Fourth Proportional to 15,481, 23,225.34 and 4,537

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Solution

The fourth proportional to 15,481, 23,225.34 and 4,537 is: 6,806.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,481 : 23,225.34 = 4,537 : x
  2. Step 2: Convert to fraction form
    15,481/23,225.34 = 4,537/x
  3. Step 3: Cross multiply
    15,481x = 23,225.34 × 4,537
  4. Step 4: Simplify right side
    15,481x = 105,373,367.58
  5. Step 5: Solve for x
    x = 105,373,367.58/15,481
  6. Step 6: Final answer
    x = 6,806.63

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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.