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Finding the Fourth Proportional to 1,877.53, 2,608.90 and 1,857.28

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Solution

The fourth proportional to 1,877.53, 2,608.90 and 1,857.28 is: 2,580.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.53 : 2,608.90 = 1,857.28 : x
  2. Step 2: Convert to fraction form
    1,877.53/2,608.90 = 1,857.28/x
  3. Step 3: Cross multiply
    1,877.53x = 2,608.90 × 1,857.28
  4. Step 4: Simplify right side
    1,877.53x = 4,845,457.79
  5. Step 5: Solve for x
    x = 4,845,457.79/1,877.53
  6. Step 6: Final answer
    x = 2,580.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.