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Finding the Fourth Proportional to 1,138.09, 1,706.08 and 1,036.64

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Solution

The fourth proportional to 1,138.09, 1,706.08 and 1,036.64 is: 1,554.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.09 : 1,706.08 = 1,036.64 : x
  2. Step 2: Convert to fraction form
    1,138.09/1,706.08 = 1,036.64/x
  3. Step 3: Cross multiply
    1,138.09x = 1,706.08 × 1,036.64
  4. Step 4: Simplify right side
    1,138.09x = 1,768,590.77
  5. Step 5: Solve for x
    x = 1,768,590.77/1,138.09
  6. Step 6: Final answer
    x = 1,554.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.