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Finding the Fourth Proportional to 7,221.54, 9,968.62 and 4,705.81

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Solution

The fourth proportional to 7,221.54, 9,968.62 and 4,705.81 is: 6,495.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.54 : 9,968.62 = 4,705.81 : x
  2. Step 2: Convert to fraction form
    7,221.54/9,968.62 = 4,705.81/x
  3. Step 3: Cross multiply
    7,221.54x = 9,968.62 × 4,705.81
  4. Step 4: Simplify right side
    7,221.54x = 46,910,417.84
  5. Step 5: Solve for x
    x = 46,910,417.84/7,221.54
  6. Step 6: Final answer
    x = 6,495.90

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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.