Home / 1,706.14-2,355.78-1,116.46

Finding the Fourth Proportional to 1,706.14, 2,355.78 and 1,116.46

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Solution

The fourth proportional to 1,706.14, 2,355.78 and 1,116.46 is: 1,541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.14 : 2,355.78 = 1,116.46 : x
  2. Step 2: Convert to fraction form
    1,706.14/2,355.78 = 1,116.46/x
  3. Step 3: Cross multiply
    1,706.14x = 2,355.78 × 1,116.46
  4. Step 4: Simplify right side
    1,706.14x = 2,630,134.14
  5. Step 5: Solve for x
    x = 2,630,134.14/1,706.14
  6. Step 6: Final answer
    x = 1,541.57

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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.