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Finding the Fourth Proportional to 5,668.43, 7,822.80 and 3,430.40

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Solution

The fourth proportional to 5,668.43, 7,822.80 and 3,430.40 is: 4,734.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.43 : 7,822.80 = 3,430.40 : x
  2. Step 2: Convert to fraction form
    5,668.43/7,822.80 = 3,430.40/x
  3. Step 3: Cross multiply
    5,668.43x = 7,822.80 × 3,430.40
  4. Step 4: Simplify right side
    5,668.43x = 26,835,294.01
  5. Step 5: Solve for x
    x = 26,835,294.01/5,668.43
  6. Step 6: Final answer
    x = 4,734.17

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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.