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Finding the Fourth Proportional to 1,811.78, 2,699.85 and 1,752.98

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Solution

The fourth proportional to 1,811.78, 2,699.85 and 1,752.98 is: 2,612.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.78 : 2,699.85 = 1,752.98 : x
  2. Step 2: Convert to fraction form
    1,811.78/2,699.85 = 1,752.98/x
  3. Step 3: Cross multiply
    1,811.78x = 2,699.85 × 1,752.98
  4. Step 4: Simplify right side
    1,811.78x = 4,732,774.29
  5. Step 5: Solve for x
    x = 4,732,774.29/1,811.78
  6. Step 6: Final answer
    x = 2,612.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.