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Finding the Fourth Proportional to 9,240, 13,852.48 and 5,340

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Solution

The fourth proportional to 9,240, 13,852.48 and 5,340 is: 8,005.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240 : 13,852.48 = 5,340 : x
  2. Step 2: Convert to fraction form
    9,240/13,852.48 = 5,340/x
  3. Step 3: Cross multiply
    9,240x = 13,852.48 × 5,340
  4. Step 4: Simplify right side
    9,240x = 73,972,243.20
  5. Step 5: Solve for x
    x = 73,972,243.20/9,240
  6. Step 6: Final answer
    x = 8,005.65

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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.