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Finding the Fourth Proportional to 1,102.68, 1,518.36 and 1,078.38

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Solution

The fourth proportional to 1,102.68, 1,518.36 and 1,078.38 is: 1,484.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.68 : 1,518.36 = 1,078.38 : x
  2. Step 2: Convert to fraction form
    1,102.68/1,518.36 = 1,078.38/x
  3. Step 3: Cross multiply
    1,102.68x = 1,518.36 × 1,078.38
  4. Step 4: Simplify right side
    1,102.68x = 1,637,369.06
  5. Step 5: Solve for x
    x = 1,637,369.06/1,102.68
  6. Step 6: Final answer
    x = 1,484.90

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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.