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Finding the Fourth Proportional to 5,653.89, 7,802.40 and 3,135.83

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Solution

The fourth proportional to 5,653.89, 7,802.40 and 3,135.83 is: 4,327.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.89 : 7,802.40 = 3,135.83 : x
  2. Step 2: Convert to fraction form
    5,653.89/7,802.40 = 3,135.83/x
  3. Step 3: Cross multiply
    5,653.89x = 7,802.40 × 3,135.83
  4. Step 4: Simplify right side
    5,653.89x = 24,466,980.49
  5. Step 5: Solve for x
    x = 24,466,980.49/5,653.89
  6. Step 6: Final answer
    x = 4,327.46

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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.