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Finding the Fourth Proportional to 1,751.05, 2,417.05 and 1,161.78

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Solution

The fourth proportional to 1,751.05, 2,417.05 and 1,161.78 is: 1,603.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.05 : 2,417.05 = 1,161.78 : x
  2. Step 2: Convert to fraction form
    1,751.05/2,417.05 = 1,161.78/x
  3. Step 3: Cross multiply
    1,751.05x = 2,417.05 × 1,161.78
  4. Step 4: Simplify right side
    1,751.05x = 2,808,080.35
  5. Step 5: Solve for x
    x = 2,808,080.35/1,751.05
  6. Step 6: Final answer
    x = 1,603.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.