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Finding the Fourth Proportional to 7,842.48, 10,821.24 and 5,751.60

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Solution

The fourth proportional to 7,842.48, 10,821.24 and 5,751.60 is: 7,936.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.48 : 10,821.24 = 5,751.60 : x
  2. Step 2: Convert to fraction form
    7,842.48/10,821.24 = 5,751.60/x
  3. Step 3: Cross multiply
    7,842.48x = 10,821.24 × 5,751.60
  4. Step 4: Simplify right side
    7,842.48x = 62,239,443.98
  5. Step 5: Solve for x
    x = 62,239,443.98/7,842.48
  6. Step 6: Final answer
    x = 7,936.19

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1.5x scale

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.