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Finding the Fourth Proportional to 4,802.50, 7,203.83 and 1,339.75

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Solution

The fourth proportional to 4,802.50, 7,203.83 and 1,339.75 is: 2,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.50 : 7,203.83 = 1,339.75 : x
  2. Step 2: Convert to fraction form
    4,802.50/7,203.83 = 1,339.75/x
  3. Step 3: Cross multiply
    4,802.50x = 7,203.83 × 1,339.75
  4. Step 4: Simplify right side
    4,802.50x = 9,651,331.24
  5. Step 5: Solve for x
    x = 9,651,331.24/4,802.50
  6. Step 6: Final answer
    x = 2,009.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.