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Finding the Fourth Proportional to 1,772.79, 2,447.42 and 1,585.83

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Solution

The fourth proportional to 1,772.79, 2,447.42 and 1,585.83 is: 2,189.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.79 : 2,447.42 = 1,585.83 : x
  2. Step 2: Convert to fraction form
    1,772.79/2,447.42 = 1,585.83/x
  3. Step 3: Cross multiply
    1,772.79x = 2,447.42 × 1,585.83
  4. Step 4: Simplify right side
    1,772.79x = 3,881,192.06
  5. Step 5: Solve for x
    x = 3,881,192.06/1,772.79
  6. Step 6: Final answer
    x = 2,189.31

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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.