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Finding the Fourth Proportional to 7,703, 10,630.10 and 4,166.20

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Solution

The fourth proportional to 7,703, 10,630.10 and 4,166.20 is: 5,749.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703 : 10,630.10 = 4,166.20 : x
  2. Step 2: Convert to fraction form
    7,703/10,630.10 = 4,166.20/x
  3. Step 3: Cross multiply
    7,703x = 10,630.10 × 4,166.20
  4. Step 4: Simplify right side
    7,703x = 44,287,122.62
  5. Step 5: Solve for x
    x = 44,287,122.62/7,703
  6. Step 6: Final answer
    x = 5,749.33

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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.