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Finding the Fourth Proportional to 9,285.86, 13,927.37 and 3,046.50

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Solution

The fourth proportional to 9,285.86, 13,927.37 and 3,046.50 is: 4,569.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.86 : 13,927.37 = 3,046.50 : x
  2. Step 2: Convert to fraction form
    9,285.86/13,927.37 = 3,046.50/x
  3. Step 3: Cross multiply
    9,285.86x = 13,927.37 × 3,046.50
  4. Step 4: Simplify right side
    9,285.86x = 42,429,717.47
  5. Step 5: Solve for x
    x = 42,429,717.47/9,285.86
  6. Step 6: Final answer
    x = 4,569.28

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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.