Home / 1,316.85-1,965.64-1,161.16

Finding the Fourth Proportional to 1,316.85, 1,965.64 and 1,161.16

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Solution

The fourth proportional to 1,316.85, 1,965.64 and 1,161.16 is: 1,733.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.85 : 1,965.64 = 1,161.16 : x
  2. Step 2: Convert to fraction form
    1,316.85/1,965.64 = 1,161.16/x
  3. Step 3: Cross multiply
    1,316.85x = 1,965.64 × 1,161.16
  4. Step 4: Simplify right side
    1,316.85x = 2,282,416.74
  5. Step 5: Solve for x
    x = 2,282,416.74/1,316.85
  6. Step 6: Final answer
    x = 1,733.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.