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Finding the Fourth Proportional to 1,706.10, 2,353.80 and 1,116.60

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Solution

The fourth proportional to 1,706.10, 2,353.80 and 1,116.60 is: 1,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.10 : 2,353.80 = 1,116.60 : x
  2. Step 2: Convert to fraction form
    1,706.10/2,353.80 = 1,116.60/x
  3. Step 3: Cross multiply
    1,706.10x = 2,353.80 × 1,116.60
  4. Step 4: Simplify right side
    1,706.10x = 2,628,253.08
  5. Step 5: Solve for x
    x = 2,628,253.08/1,706.10
  6. Step 6: Final answer
    x = 1,540.50

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1.5x scale

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.