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Finding the Fourth Proportional to 2,802.11, 4,200.93 and 1,815.93

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Solution

The fourth proportional to 2,802.11, 4,200.93 and 1,815.93 is: 2,722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.11 : 4,200.93 = 1,815.93 : x
  2. Step 2: Convert to fraction form
    2,802.11/4,200.93 = 1,815.93/x
  3. Step 3: Cross multiply
    2,802.11x = 4,200.93 × 1,815.93
  4. Step 4: Simplify right side
    2,802.11x = 7,628,594.81
  5. Step 5: Solve for x
    x = 7,628,594.81/2,802.11
  6. Step 6: Final answer
    x = 2,722.45

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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.