Home / 1,137.65-1,570.38-1,106.42

Finding the Fourth Proportional to 1,137.65, 1,570.38 and 1,106.42

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Solution

The fourth proportional to 1,137.65, 1,570.38 and 1,106.42 is: 1,527.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.65 : 1,570.38 = 1,106.42 : x
  2. Step 2: Convert to fraction form
    1,137.65/1,570.38 = 1,106.42/x
  3. Step 3: Cross multiply
    1,137.65x = 1,570.38 × 1,106.42
  4. Step 4: Simplify right side
    1,137.65x = 1,737,499.84
  5. Step 5: Solve for x
    x = 1,737,499.84/1,137.65
  6. Step 6: Final answer
    x = 1,527.27

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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.