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Finding the Fourth Proportional to 10,155, 15,234.42 and 4,683

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Solution

The fourth proportional to 10,155, 15,234.42 and 4,683 is: 7,025.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155 : 15,234.42 = 4,683 : x
  2. Step 2: Convert to fraction form
    10,155/15,234.42 = 4,683/x
  3. Step 3: Cross multiply
    10,155x = 15,234.42 × 4,683
  4. Step 4: Simplify right side
    10,155x = 71,342,788.86
  5. Step 5: Solve for x
    x = 71,342,788.86/10,155
  6. Step 6: Final answer
    x = 7,025.39

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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.