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Finding the Fourth Proportional to 5,203.60, 7,180.80 and 4,780.01

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Solution

The fourth proportional to 5,203.60, 7,180.80 and 4,780.01 is: 6,596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.60 : 7,180.80 = 4,780.01 : x
  2. Step 2: Convert to fraction form
    5,203.60/7,180.80 = 4,780.01/x
  3. Step 3: Cross multiply
    5,203.60x = 7,180.80 × 4,780.01
  4. Step 4: Simplify right side
    5,203.60x = 34,324,295.81
  5. Step 5: Solve for x
    x = 34,324,295.81/5,203.60
  6. Step 6: Final answer
    x = 6,596.26

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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.