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Finding the Fourth Proportional to 1,706.08, 2,356.08 and 1,609.12

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Solution

The fourth proportional to 1,706.08, 2,356.08 and 1,609.12 is: 2,222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.08 : 2,356.08 = 1,609.12 : x
  2. Step 2: Convert to fraction form
    1,706.08/2,356.08 = 1,609.12/x
  3. Step 3: Cross multiply
    1,706.08x = 2,356.08 × 1,609.12
  4. Step 4: Simplify right side
    1,706.08x = 3,791,215.45
  5. Step 5: Solve for x
    x = 3,791,215.45/1,706.08
  6. Step 6: Final answer
    x = 2,222.18

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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.