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Finding the Fourth Proportional to 3,802.50, 5,703.75 and 1,205.46

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Solution

The fourth proportional to 3,802.50, 5,703.75 and 1,205.46 is: 1,808.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.50 : 5,703.75 = 1,205.46 : x
  2. Step 2: Convert to fraction form
    3,802.50/5,703.75 = 1,205.46/x
  3. Step 3: Cross multiply
    3,802.50x = 5,703.75 × 1,205.46
  4. Step 4: Simplify right side
    3,802.50x = 6,875,642.48
  5. Step 5: Solve for x
    x = 6,875,642.48/3,802.50
  6. Step 6: Final answer
    x = 1,808.19

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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.