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Finding the Fourth Proportional to 7,840.67, 10,821.80 and 4,698.68

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Solution

The fourth proportional to 7,840.67, 10,821.80 and 4,698.68 is: 6,485.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.67 : 10,821.80 = 4,698.68 : x
  2. Step 2: Convert to fraction form
    7,840.67/10,821.80 = 4,698.68/x
  3. Step 3: Cross multiply
    7,840.67x = 10,821.80 × 4,698.68
  4. Step 4: Simplify right side
    7,840.67x = 50,848,097.62
  5. Step 5: Solve for x
    x = 50,848,097.62/7,840.67
  6. Step 6: Final answer
    x = 6,485.18

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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.