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Finding the Fourth Proportional to 1,136.60, 1,568.10 and 842.36

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Solution

The fourth proportional to 1,136.60, 1,568.10 and 842.36 is: 1,162.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.60 : 1,568.10 = 842.36 : x
  2. Step 2: Convert to fraction form
    1,136.60/1,568.10 = 842.36/x
  3. Step 3: Cross multiply
    1,136.60x = 1,568.10 × 842.36
  4. Step 4: Simplify right side
    1,136.60x = 1,320,904.72
  5. Step 5: Solve for x
    x = 1,320,904.72/1,136.60
  6. Step 6: Final answer
    x = 1,162.15

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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.