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Finding the Fourth Proportional to 1,877.45, 2,817.18 and 1,583.55

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Solution

The fourth proportional to 1,877.45, 2,817.18 and 1,583.55 is: 2,376.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.45 : 2,817.18 = 1,583.55 : x
  2. Step 2: Convert to fraction form
    1,877.45/2,817.18 = 1,583.55/x
  3. Step 3: Cross multiply
    1,877.45x = 2,817.18 × 1,583.55
  4. Step 4: Simplify right side
    1,877.45x = 4,461,145.39
  5. Step 5: Solve for x
    x = 4,461,145.39/1,877.45
  6. Step 6: Final answer
    x = 2,376.18

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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.