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Finding the Fourth Proportional to 1,706.80, 2,354.02 and 1,147.08

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Solution

The fourth proportional to 1,706.80, 2,354.02 and 1,147.08 is: 1,582.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.80 : 2,354.02 = 1,147.08 : x
  2. Step 2: Convert to fraction form
    1,706.80/2,354.02 = 1,147.08/x
  3. Step 3: Cross multiply
    1,706.80x = 2,354.02 × 1,147.08
  4. Step 4: Simplify right side
    1,706.80x = 2,700,249.26
  5. Step 5: Solve for x
    x = 2,700,249.26/1,706.80
  6. Step 6: Final answer
    x = 1,582.05

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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.