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Finding the Fourth Proportional to 5,802.40, 7,999.76 and 3,936.16

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Solution

The fourth proportional to 5,802.40, 7,999.76 and 3,936.16 is: 5,426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.40 : 7,999.76 = 3,936.16 : x
  2. Step 2: Convert to fraction form
    5,802.40/7,999.76 = 3,936.16/x
  3. Step 3: Cross multiply
    5,802.40x = 7,999.76 × 3,936.16
  4. Step 4: Simplify right side
    5,802.40x = 31,488,335.32
  5. Step 5: Solve for x
    x = 31,488,335.32/5,802.40
  6. Step 6: Final answer
    x = 5,426.78

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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.