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Finding the Fourth Proportional to 1,877.06, 2,815.57 and 1,762.89

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Solution

The fourth proportional to 1,877.06, 2,815.57 and 1,762.89 is: 2,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.06 : 2,815.57 = 1,762.89 : x
  2. Step 2: Convert to fraction form
    1,877.06/2,815.57 = 1,762.89/x
  3. Step 3: Cross multiply
    1,877.06x = 2,815.57 × 1,762.89
  4. Step 4: Simplify right side
    1,877.06x = 4,963,531.84
  5. Step 5: Solve for x
    x = 4,963,531.84/1,877.06
  6. Step 6: Final answer
    x = 2,644.31

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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.