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Finding the Fourth Proportional to 1,382.48, 2,074.53 and 992.06

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Solution

The fourth proportional to 1,382.48, 2,074.53 and 992.06 is: 1,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.48 : 2,074.53 = 992.06 : x
  2. Step 2: Convert to fraction form
    1,382.48/2,074.53 = 992.06/x
  3. Step 3: Cross multiply
    1,382.48x = 2,074.53 × 992.06
  4. Step 4: Simplify right side
    1,382.48x = 2,058,058.23
  5. Step 5: Solve for x
    x = 2,058,058.23/1,382.48
  6. Step 6: Final answer
    x = 1,488.67

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1.5x scale

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.