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Finding the Fourth Proportional to 1,706.13, 2,354.54 and 1,117.80

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Solution

The fourth proportional to 1,706.13, 2,354.54 and 1,117.80 is: 1,542.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.13 : 2,354.54 = 1,117.80 : x
  2. Step 2: Convert to fraction form
    1,706.13/2,354.54 = 1,117.80/x
  3. Step 3: Cross multiply
    1,706.13x = 2,354.54 × 1,117.80
  4. Step 4: Simplify right side
    1,706.13x = 2,631,899.22
  5. Step 5: Solve for x
    x = 2,631,899.22/1,706.13
  6. Step 6: Final answer
    x = 1,542.61

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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.