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Finding the Fourth Proportional to 9,240, 12,751.32 and 5,048.34

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Solution

The fourth proportional to 9,240, 12,751.32 and 5,048.34 is: 6,966.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240 : 12,751.32 = 5,048.34 : x
  2. Step 2: Convert to fraction form
    9,240/12,751.32 = 5,048.34/x
  3. Step 3: Cross multiply
    9,240x = 12,751.32 × 5,048.34
  4. Step 4: Simplify right side
    9,240x = 64,372,998.81
  5. Step 5: Solve for x
    x = 64,372,998.81/9,240
  6. Step 6: Final answer
    x = 6,966.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.