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Finding the Fourth Proportional to 1,877.57, 2,817.48 and 751.63

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Solution

The fourth proportional to 1,877.57, 2,817.48 and 751.63 is: 1,127.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.57 : 2,817.48 = 751.63 : x
  2. Step 2: Convert to fraction form
    1,877.57/2,817.48 = 751.63/x
  3. Step 3: Cross multiply
    1,877.57x = 2,817.48 × 751.63
  4. Step 4: Simplify right side
    1,877.57x = 2,117,698.79
  5. Step 5: Solve for x
    x = 2,117,698.79/1,877.57
  6. Step 6: Final answer
    x = 1,127.89

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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.