Home / 1,286.18-1,776.81-971.45

Finding the Fourth Proportional to 1,286.18, 1,776.81 and 971.45

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Solution

The fourth proportional to 1,286.18, 1,776.81 and 971.45 is: 1,342.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.18 : 1,776.81 = 971.45 : x
  2. Step 2: Convert to fraction form
    1,286.18/1,776.81 = 971.45/x
  3. Step 3: Cross multiply
    1,286.18x = 1,776.81 × 971.45
  4. Step 4: Simplify right side
    1,286.18x = 1,726,082.07
  5. Step 5: Solve for x
    x = 1,726,082.07/1,286.18
  6. Step 6: Final answer
    x = 1,342.02

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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.