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Finding the Fourth Proportional to 2,362.05, 3,543.48 and 802.22

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Solution

The fourth proportional to 2,362.05, 3,543.48 and 802.22 is: 1,203.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.05 : 3,543.48 = 802.22 : x
  2. Step 2: Convert to fraction form
    2,362.05/3,543.48 = 802.22/x
  3. Step 3: Cross multiply
    2,362.05x = 3,543.48 × 802.22
  4. Step 4: Simplify right side
    2,362.05x = 2,842,632.81
  5. Step 5: Solve for x
    x = 2,842,632.81/2,362.05
  6. Step 6: Final answer
    x = 1,203.46

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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.